mirror of
https://github.com/saymrwulf/pasta-pallas-verified.git
synced 2026-09-07 20:30:32 +00:00
225 lines
11 KiB
Text
225 lines
11 KiB
Text
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-- THIS FILE WAS AUTOMATICALLY GENERATED BY AENEAS
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-- [pasta_curves]: external functions.
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-- This is a template file: rename it to "FunsExternal.lean" and fill the holes.
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import Aeneas
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import PallasFp.Types
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open Aeneas Aeneas.Std Result ControlFlow Error
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set_option linter.dupNamespace false
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set_option linter.hashCommand false
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set_option linter.unusedVariables false
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/- You can set the `maxHeartbeats` value with the `-max-heartbeats` CLI option -/
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set_option maxHeartbeats 1000000
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/- You can set the `maxRecDepth` value with the `-max-recdepth` CLI option -/
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set_option maxRecDepth 2048
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open pasta_curves
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/-- [core::array::{impl core::convert::AsRef<[T]> for [T; N]}::as_ref]:
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Source: '/rustc/library/core/src/array/mod.rs', lines 208:4-208:28
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Name pattern: [core::array::{core::convert::AsRef<[@T; @N], [@T]>}::as_ref]
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Visibility: public -/
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@[rust_fun "core::array::{core::convert::AsRef<[@T; @N], [@T]>}::as_ref"]
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axiom Array.Insts.CoreConvertAsRefSlice.as_ref
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{T : Type} {N : Std.Usize} : Array T N → Result (Slice T)
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/-- [core::array::{impl core::convert::AsMut<[T]> for [T; N]}::as_mut]:
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Source: '/rustc/library/core/src/array/mod.rs', lines 217:4-217:36
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Name pattern: [core::array::{core::convert::AsMut<[@T; @N], [@T]>}::as_mut]
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Visibility: public -/
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@[rust_fun "core::array::{core::convert::AsMut<[@T; @N], [@T]>}::as_mut"]
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axiom Array.Insts.CoreConvertAsMutSlice.as_mut
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{T : Type} {N : Std.Usize} :
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Array T N → Result ((Slice T) × (Slice T → Array T N))
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/-- [core::borrow::{impl core::borrow::Borrow<T> for T}::borrow]:
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Source: '/rustc/library/core/src/borrow.rs', lines 214:4-214:26
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Name pattern: [core::borrow::{core::borrow::Borrow<@T, @T>}::borrow]
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Visibility: public -/
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@[rust_fun "core::borrow::{core::borrow::Borrow<@T, @T>}::borrow"]
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axiom core.borrow.Borrow.Blanket.borrow {T : Type} : T → Result T
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/-- [core::borrow::{impl core::borrow::Borrow<T> for &'_0 T}::borrow]:
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Source: '/rustc/library/core/src/borrow.rs', lines 230:4-230:26
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Name pattern: [core::borrow::{core::borrow::Borrow<&'0 @T, @T>}::borrow]
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Visibility: public -/
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@[rust_fun "core::borrow::{core::borrow::Borrow<&'0 @T, @T>}::borrow"]
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axiom Shared0T.Insts.CoreBorrowBorrow.borrow {T : Type} : T → Result T
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/-- [core::convert::{impl core::convert::AsRef<U> for &'_0 T}::as_ref]:
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Source: '/rustc/library/core/src/convert/mod.rs', lines 717:4-717:26
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Name pattern: [core::convert::{core::convert::AsRef<&'0 @T, @U>}::as_ref]
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Visibility: public -/
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@[rust_fun "core::convert::{core::convert::AsRef<&'0 @T, @U>}::as_ref"]
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axiom Shared0T.Insts.CoreConvertAsRef.as_ref
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{T : Type} {U : Type} (AsRefInst : core.convert.AsRef T U) : T → Result U
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/-- [ff::Field::sqrt]:
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Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/ff-0.13.1/src/lib.rs', lines 144:4-144:36
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Name pattern: [ff::Field::sqrt]
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Visibility: public -/
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@[rust_fun "ff::Field::sqrt"]
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axiom ff.Field.sqrt.default
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{Self : Type} (FieldInst : ff.Field Self) :
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Self → Result (subtle.CtOption Self)
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/-- [ff::Field::pow_vartime]:
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Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/ff-0.13.1/src/lib.rs', lines 178:4-178:58
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Name pattern: [ff::Field::pow_vartime]
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Visibility: public -/
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@[rust_fun "ff::Field::pow_vartime"]
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axiom ff.Field.pow_vartime.default
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{Self : Type} {S : Type} (FieldInst : ff.Field Self)
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(coreconvertAsRefSSliceU64Inst : core.convert.AsRef S (Slice Std.U64)) :
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Self → S → Result Self
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/-- [ff::PrimeField::from_u128]:
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Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/ff-0.13.1/src/lib.rs', lines 254:4-254:33
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Name pattern: [ff::PrimeField::from_u128]
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Visibility: public -/
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@[rust_fun "ff::PrimeField::from_u128"]
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axiom ff.PrimeField.from_u128.default
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{Self : Type} {Clause0_Repr : Type} (PrimeFieldInst : ff.PrimeField Self
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Clause0_Repr) :
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Std.U128 → Result Self
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/-- [subtle::{subtle::Choice}::unwrap_u8]:
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Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 133:4-133:33
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Name pattern: [subtle::{subtle::Choice}::unwrap_u8]
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Visibility: public -/
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@[rust_fun "subtle::{subtle::Choice}::unwrap_u8"]
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axiom subtle.Choice.unwrap_u8 : subtle.Choice → Result Std.U8
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/-- [subtle::{impl core::ops::bit::BitAnd<subtle::Choice, subtle::Choice> for subtle::Choice}::bitand]:
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Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 162:4-162:42
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Name pattern: [subtle::{core::ops::bit::BitAnd<subtle::Choice, subtle::Choice, subtle::Choice>}::bitand]
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Visibility: public -/
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@[rust_fun
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"subtle::{core::ops::bit::BitAnd<subtle::Choice, subtle::Choice, subtle::Choice>}::bitand"]
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axiom subtle.Choice.Insts.CoreOpsBitBitAndChoiceChoice.bitand
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: subtle.Choice → subtle.Choice → Result subtle.Choice
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/-- [subtle::{impl core::ops::bit::Not<subtle::Choice> for subtle::Choice}::not]:
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Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 207:4-207:26
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Name pattern: [subtle::{core::ops::bit::Not<subtle::Choice, subtle::Choice>}::not]
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Visibility: public -/
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@[rust_fun
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"subtle::{core::ops::bit::Not<subtle::Choice, subtle::Choice>}::not"]
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axiom subtle.Choice.Insts.CoreOpsBitNotChoice.not
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: subtle.Choice → Result subtle.Choice
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/-- [subtle::{impl core::convert::From<u8> for subtle::Choice}::from]:
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Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 238:4-238:32
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Name pattern: [subtle::{core::convert::From<subtle::Choice, u8>}::from]
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Visibility: public -/
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@[rust_fun "subtle::{core::convert::From<subtle::Choice, u8>}::from"]
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axiom subtle.Choice.Insts.CoreConvertFromU8.from
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: Std.U8 → Result subtle.Choice
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/-- [subtle::{impl subtle::ConstantTimeEq for u64}::ct_eq]:
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Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 348:12-348:51
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Name pattern: [subtle::{subtle::ConstantTimeEq<u64>}::ct_eq]
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Visibility: public -/
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@[rust_fun "subtle::{subtle::ConstantTimeEq<u64>}::ct_eq"]
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axiom U64.Insts.SubtleConstantTimeEq.ct_eq
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: Std.U64 → Std.U64 → Result subtle.Choice
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/-- [subtle::{impl subtle::ConditionallySelectable for u64}::conditional_select]:
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Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 513:12-513:77
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Name pattern: [subtle::{subtle::ConditionallySelectable<u64>}::conditional_select]
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Visibility: public -/
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@[rust_fun
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"subtle::{subtle::ConditionallySelectable<u64>}::conditional_select"]
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axiom U64.Insts.SubtleConditionallySelectable.conditional_select
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: Std.U64 → Std.U64 → subtle.Choice → Result Std.U64
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/-- [subtle::{subtle::CtOption<T>}::new]:
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Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 678:4-678:56
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Name pattern: [subtle::{subtle::CtOption<@T>}::new]
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Visibility: public -/
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@[rust_fun "subtle::{subtle::CtOption<@T>}::new"]
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axiom subtle.CtOption.new
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{T : Type} : T → subtle.Choice → Result (subtle.CtOption T)
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/-- [pasta_curves::fields::fp::{impl core::fmt::Debug for pasta_curves::fields::fp::Fp}::fmt]:
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Source: 'src/fields/fp.rs', lines 34:4-41:5
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Visibility: public -/
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axiom fields.fp.Fp.Insts.CoreFmtDebug.fmt
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:
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fields.fp.Fp → core.fmt.Formatter → Result ((core.result.Result Unit
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core.fmt.Error) × core.fmt.Formatter)
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/-- [pasta_curves::fields::fp::{impl core::cmp::PartialOrd<pasta_curves::fields::fp::Fp> for pasta_curves::fields::fp::Fp}::partial_cmp]:
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Source: 'src/fields/fp.rs', lines 92:4-94:5
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Visibility: public -/
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axiom fields.fp.Fp.Insts.CoreCmpPartialOrdFp.partial_cmp
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: fields.fp.Fp → fields.fp.Fp → Result (Option Ordering)
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/-- [pasta_curves::fields::fp::{impl core::cmp::Ord for pasta_curves::fields::fp::Fp}::cmp]:
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Source: 'src/fields/fp.rs', lines 77:4-88:5
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Visibility: public -/
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axiom fields.fp.Fp.Insts.CoreCmpOrd.cmp
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: fields.fp.Fp → fields.fp.Fp → Result Ordering
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/-- [pasta_curves::fields::fp::{impl core::iter::traits::accum::Sum<T> for pasta_curves::fields::fp::Fp}::sum]:
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Source: 'src/fields/fp.rs', lines 179:4-181:5
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Visibility: public -/
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axiom fields.fp.Fp.Insts.CoreIterTraitsAccumSum.sum
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{T : Type} {I : Type} (coreborrowBorrowTFpInst : core.borrow.Borrow T
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fields.fp.Fp) (coreitertraitsiteratorIteratorInst :
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core.iter.traits.iterator.Iterator I T) :
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I → Result fields.fp.Fp
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/-- [pasta_curves::fields::fp::{impl core::iter::traits::accum::Product<T> for pasta_curves::fields::fp::Fp}::product]:
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Source: 'src/fields/fp.rs', lines 185:4-187:5
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Visibility: public -/
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axiom fields.fp.Fp.Insts.CoreIterTraitsAccumProduct.product
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{T : Type} {I : Type} (coreborrowBorrowTFpInst : core.borrow.Borrow T
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fields.fp.Fp) (coreitertraitsiteratorIteratorInst :
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core.iter.traits.iterator.Iterator I T) :
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I → Result fields.fp.Fp
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/-- [pasta_curves::fields::fp::{impl ff::Field for pasta_curves::fields::fp::Fp}::sqrt]:
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Source: 'src/fields/fp.rs', lines 566:4-575:5
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Visibility: public -/
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axiom fields.fp.Fp.Insts.FfField.sqrt
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: fields.fp.Fp → Result (subtle.CtOption fields.fp.Fp)
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/-- [pasta_curves::fields::fp::{impl ff::Field for pasta_curves::fields::fp::Fp}::sqrt_ratio]:
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Source: 'src/fields/fp.rs', lines 550:4-558:5
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Visibility: public -/
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axiom fields.fp.Fp.Insts.FfField.sqrt_ratio
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: fields.fp.Fp → fields.fp.Fp → Result (subtle.Choice × fields.fp.Fp)
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/-- [pasta_curves::fields::fp::{impl ff::Field for pasta_curves::fields::fp::Fp}::random]:
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Source: 'src/fields/fp.rs', lines 528:4-539:5
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Visibility: public -/
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axiom fields.fp.Fp.Insts.FfField.random
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{T0 : Type} (rand_coreRngCoreInst : rand_core.RngCore T0) :
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T0 → Result fields.fp.Fp
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/-- [pasta_curves::fields::fp::{impl pasta_curves::arithmetic::fields::SqrtTableHelpers<[u8; 32usize]> for pasta_curves::fields::fp::Fp}::get_lower_32]:
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Source: 'src/fields/fp.rs', lines 780:4-785:5 -/
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axiom
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fields.fp.Fp.Insts.Pasta_curvesArithmeticFieldsSqrtTableHelpersArrayU832.get_lower_32
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: fields.fp.Fp → Result Std.U32
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/-- [pasta_curves::fields::fp::{impl pasta_curves::arithmetic::fields::SqrtTableHelpers<[u8; 32usize]> for pasta_curves::fields::fp::Fp}::pow_by_t_minus1_over2]:
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Source: 'src/fields/fp.rs', lines 749:4-778:5 -/
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axiom
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fields.fp.Fp.Insts.Pasta_curvesArithmeticFieldsSqrtTableHelpersArrayU832.pow_by_t_minus1_over2
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: fields.fp.Fp → Result fields.fp.Fp
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/-- [pasta_curves::fields::fp::{impl ff::WithSmallOrderMulGroup<[u8; 32usize], 3u8> for pasta_curves::fields::fp::Fp}::ZETA]
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Source: 'src/fields/fp.rs', lines 789:4-794:7
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Visibility: public -/
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axiom fields.fp.Fp.Insts.FfWithSmallOrderMulGroupArrayU8323.ZETA
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: Result fields.fp.Fp
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/-- [pasta_curves::fields::fp::{impl ff::FromUniformBytes<[u8; 32usize], 64usize> for pasta_curves::fields::fp::Fp}::from_uniform_bytes]:
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Source: 'src/fields/fp.rs', lines 800:4-811:5
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Visibility: public -/
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axiom fields.fp.Fp.Insts.FfFromUniformBytesArrayU83264.from_uniform_bytes
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: Array Std.U8 64#usize → Result fields.fp.Fp
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