anza-ed25519-verified/verification/gen/CurveField/FunsExternal.lean
mrwulf 7018fdc3a1 field layer: 14 proofs pass, fieldImplementation axiom-clean
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
2026-07-02 14:42:46 +02:00

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-- Hand-written models for external functions (derived from FunsExternal_Template.lean).
-- [curve25519]: external functions.
--
-- Modeling policy (see ../../README.md):
-- * `subtle` items whose Rust bodies are real bit math are modeled FAITHFULLY
-- (bitwise or, mask-based select collapses to if-then-else only on the
-- documented {0,1} Choice invariant — noted per item).
-- * `subtle` items whose Rust bodies are optimization barriers
-- (`black_box`/volatile reads) are semantically the identity and modeled so.
-- * core RangeFull slice indexing (`s[..]`) is the identity on the slice.
-- * Remaining axioms (Debug fmt, raw-pointer get_unchecked*, the deliberately
-- opaque `internal_invert_batch`) carry no semantics field proofs rely on.
import Aeneas
import CurveField.Types
open Aeneas Aeneas.Std Result ControlFlow Error
set_option linter.dupNamespace false
set_option linter.hashCommand false
set_option linter.unusedVariables false
/- You can set the `maxHeartbeats` value with the `-max-heartbeats` CLI option -/
set_option maxHeartbeats 1000000
/- You can set the `maxRecDepth` value with the `-max-recdepth` CLI option -/
set_option maxRecDepth 2048
open curve25519
/-- [core::fmt::{impl core::fmt::Debug for [T]}::fmt]:
Source: '/rustc/library/core/src/fmt/mod.rs', lines 3122:4-3122:50
Name pattern: [core::fmt::{core::fmt::Debug<[@T]>}::fmt]
Visibility: public
AXIOM: only reachable from the `Debug` impl; no field proof depends on it. -/
@[rust_fun "core::fmt::{core::fmt::Debug<[@T]>}::fmt"]
axiom Slice.Insts.CoreFmtDebug.fmt
{T : Type} (DebugInst : core.fmt.Debug T) :
Slice T → core.fmt.Formatter → Result ((core.result.Result Unit
core.fmt.Error) × core.fmt.Formatter)
/-- [core::slice::index::{impl core::slice::index::SliceIndex<[T], [T]> for core::ops::range::RangeFull}::index_mut]:
Source: '/rustc/library/core/src/slice/index.rs', lines 660:4-660:51
Name pattern: [core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::index_mut]
MODEL: `&mut s[..]` is the whole slice; the backward function is the
identity update. -/
@[rust_fun
"core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::index_mut"]
def
core.ops.range.RangeFull.Insts.CoreSliceIndexSliceIndexSliceSlice.index_mut
{T : Type} (_ : core.ops.range.RangeFull) (s : Slice T) :
Result ((Slice T) × (Slice T → Slice T)) :=
ok (s, fun s' => s')
/-- [core::slice::index::{impl core::slice::index::SliceIndex<[T], [T]> for core::ops::range::RangeFull}::index]:
Source: '/rustc/library/core/src/slice/index.rs', lines 655:4-655:39
Name pattern: [core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::index]
MODEL: `&s[..]` is the whole slice. -/
@[rust_fun
"core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::index"]
def core.ops.range.RangeFull.Insts.CoreSliceIndexSliceIndexSliceSlice.index
{T : Type} (_ : core.ops.range.RangeFull) (s : Slice T) :
Result (Slice T) :=
ok s
/-- [core::slice::index::{impl core::slice::index::SliceIndex<[T], [T]> for core::ops::range::RangeFull}::get_unchecked_mut]:
Source: '/rustc/library/core/src/slice/index.rs', lines 650:4-650:66
Name pattern: [core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::get_unchecked_mut]
AXIOM: raw-pointer API, never called by the extracted field code. -/
@[rust_fun
"core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::get_unchecked_mut"]
axiom
core.ops.range.RangeFull.Insts.CoreSliceIndexSliceIndexSliceSlice.get_unchecked_mut
{T : Type} :
core.ops.range.RangeFull → MutRawPtr (Slice T) → Result (MutRawPtr (Slice
T))
/-- [core::slice::index::{impl core::slice::index::SliceIndex<[T], [T]> for core::ops::range::RangeFull}::get_unchecked]:
Source: '/rustc/library/core/src/slice/index.rs', lines 645:4-645:66
Name pattern: [core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::get_unchecked]
AXIOM: raw-pointer API, never called by the extracted field code. -/
@[rust_fun
"core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::get_unchecked"]
axiom
core.ops.range.RangeFull.Insts.CoreSliceIndexSliceIndexSliceSlice.get_unchecked
{T : Type} :
core.ops.range.RangeFull → ConstRawPtr (Slice T) → Result (ConstRawPtr
(Slice T))
/-- [core::slice::index::{impl core::slice::index::SliceIndex<[T], [T]> for core::ops::range::RangeFull}::get_mut]:
Source: '/rustc/library/core/src/slice/index.rs', lines 640:4-640:57
Name pattern: [core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::get_mut]
MODEL: always `some` (RangeFull never fails); backward function folds an
updated `some` back into the slice and keeps the original on `none`. -/
@[rust_fun
"core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::get_mut"]
def core.ops.range.RangeFull.Insts.CoreSliceIndexSliceIndexSliceSlice.get_mut
{T : Type} (_ : core.ops.range.RangeFull) (s : Slice T) :
Result ((Option (Slice T)) × (Option (Slice T) → Slice T)) :=
ok (some s, fun o => o.getD s)
/-- [core::slice::index::{impl core::slice::index::SliceIndex<[T], [T]> for core::ops::range::RangeFull}::get]:
Source: '/rustc/library/core/src/slice/index.rs', lines 635:4-635:45
Name pattern: [core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::get]
MODEL: always `some` (RangeFull never fails). -/
@[rust_fun
"core::slice::index::{core::slice::index::SliceIndex<core::ops::range::RangeFull, [@T], [@T]>}::get"]
def core.ops.range.RangeFull.Insts.CoreSliceIndexSliceIndexSliceSlice.get
{T : Type} (_ : core.ops.range.RangeFull) (s : Slice T) :
Result (Option (Slice T)) :=
ok (some s)
/-- [subtle::{impl core::convert::From<subtle::Choice> for bool}::from]:
Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 153:4-153:35
Name pattern: [subtle::{core::convert::From<bool, subtle::Choice>}::from]
MODEL (faithful): Rust body is `source.0 != 0`. -/
@[rust_fun "subtle::{core::convert::From<bool, subtle::Choice>}::from"]
def Bool.Insts.CoreConvertFromChoice.from (c : subtle.Choice) : Result Bool :=
ok (c.val != 0)
/-- [subtle::{impl core::ops::bit::BitOr<subtle::Choice, subtle::Choice> for subtle::Choice}::bitor]:
Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 177:4-177:41
Name pattern: [subtle::{core::ops::bit::BitOr<subtle::Choice, subtle::Choice, subtle::Choice>}::bitor]
MODEL (faithful): Rust body is `(self.0 | rhs.0).into()`, and the `.into()`
(`Choice::from`) is an optimization barrier = identity. Bitwise or on u8. -/
@[rust_fun
"subtle::{core::ops::bit::BitOr<subtle::Choice, subtle::Choice, subtle::Choice>}::bitor"]
def subtle.Choice.Insts.CoreOpsBitBitOrChoiceChoice.bitor
(a b : subtle.Choice) : Result subtle.Choice :=
ok (a ||| b)
/-- [subtle::{impl core::convert::From<u8> for subtle::Choice}::from]:
Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 238:4-238:32
Name pattern: [subtle::{core::convert::From<subtle::Choice, u8>}::from]
MODEL (faithful): Rust body is `Choice(black_box(input))`; the volatile
read in `black_box` is semantically the identity. -/
@[rust_fun "subtle::{core::convert::From<subtle::Choice, u8>}::from"]
def subtle.Choice.Insts.CoreConvertFromU8.from
(b : Std.U8) : Result subtle.Choice :=
ok b
/-- [subtle::{impl subtle::ConstantTimeEq for [T]}::ct_eq]:
Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 313:4-313:41
Name pattern: [subtle::{subtle::ConstantTimeEq<[@T]>}::ct_eq]
MODEL: 1 iff the slices are equal (length + elementwise), else 0.
CAVEAT: this equates `ConstantTimeEqInst.ct_eq` with logical equality on
`T`. That is exact for the only instantiation reachable from the field
code (`T = u8`, whose `ct_eq` is genuine equality); a hypothetical exotic
`ConstantTimeEq` instance would not be modeled faithfully. -/
@[rust_fun "subtle::{subtle::ConstantTimeEq<[@T]>}::ct_eq"]
noncomputable def Slice.Insts.SubtleConstantTimeEq.ct_eq
{T : Type} (ConstantTimeEqInst : subtle.ConstantTimeEq T)
(a b : Slice T) : Result subtle.Choice :=
open Classical in
ok (if a.val = b.val then 1#u8 else 0#u8)
/-- [subtle::{impl subtle::ConstantTimeEq for u8}::ct_eq]:
Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 348:12-348:51
Name pattern: [subtle::{subtle::ConstantTimeEq<u8>}::ct_eq]
MODEL: 1 iff equal, else 0 — the specification the Rust xor/shift bit
trick implements for all inputs. -/
@[rust_fun "subtle::{subtle::ConstantTimeEq<u8>}::ct_eq"]
def U8.Insts.SubtleConstantTimeEq.ct_eq
(a b : Std.U8) : Result subtle.Choice :=
ok (if a = b then 1#u8 else 0#u8)
/-- [subtle::ConditionallySelectable::conditional_assign]:
Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 442:4-442:66
Name pattern: [subtle::ConditionallySelectable::conditional_assign]
MODEL (faithful): the trait's default body is
`*self = Self::conditional_select(self, other, choice)`. -/
@[rust_fun "subtle::ConditionallySelectable::conditional_assign"]
def subtle.ConditionallySelectable.conditional_assign.default
{Self : Type} (ConditionallySelectableInst : subtle.ConditionallySelectable
Self) (self other : Self) (choice : subtle.Choice) : Result Self :=
ConditionallySelectableInst.conditional_select self other choice
/-- [subtle::ConditionallySelectable::conditional_swap]:
Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 469:4-469:67
Name pattern: [subtle::ConditionallySelectable::conditional_swap]
MODEL (faithful): the trait's default body conditionally assigns each side
the other's original value. -/
@[rust_fun "subtle::ConditionallySelectable::conditional_swap"]
def subtle.ConditionallySelectable.conditional_swap.default
{Self : Type} (ConditionallySelectableInst : subtle.ConditionallySelectable
Self) (a b : Self) (choice : subtle.Choice) : Result (Self × Self) := do
let a1 ← ConditionallySelectableInst.conditional_assign a b choice
let b1 ← ConditionallySelectableInst.conditional_assign b a choice
ok (a1, b1)
/-- [subtle::{impl subtle::ConditionallySelectable for u64}::conditional_select]:
Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 513:12-513:77
Name pattern: [subtle::{subtle::ConditionallySelectable<u64>}::conditional_select]
MODEL: `a` if choice = 0, else `b`. The Rust mask trick
`a ^ (-(choice as i64) as u64 & (a ^ b))` agrees with this on the Choice
invariant {0,1} (mask = 0 or all-ones). -/
@[rust_fun
"subtle::{subtle::ConditionallySelectable<u64>}::conditional_select"]
def U64.Insts.SubtleConditionallySelectable.conditional_select
(a b : Std.U64) (choice : subtle.Choice) : Result Std.U64 :=
ok (if choice.val = 0 then a else b)
/-- [subtle::{impl subtle::ConditionallySelectable for u64}::conditional_assign]:
Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 521:12-521:74
Name pattern: [subtle::{subtle::ConditionallySelectable<u64>}::conditional_assign]
MODEL: keep `self` if choice = 0, else take `other` (same mask trick). -/
@[rust_fun
"subtle::{subtle::ConditionallySelectable<u64>}::conditional_assign"]
def U64.Insts.SubtleConditionallySelectable.conditional_assign
(self other : Std.U64) (choice : subtle.Choice) : Result Std.U64 :=
ok (if choice.val = 0 then self else other)
/-- [subtle::{impl subtle::ConditionallySelectable for u64}::conditional_swap]:
Source: '/cargo/registry/src/index.crates.io-1949cf8c6b5b557f/subtle-2.6.1/src/lib.rs', lines 529:12-529:75
Name pattern: [subtle::{subtle::ConditionallySelectable<u64>}::conditional_swap]
MODEL: swap iff choice ≠ 0 (same mask trick, applied to both sides). -/
@[rust_fun "subtle::{subtle::ConditionallySelectable<u64>}::conditional_swap"]
def U64.Insts.SubtleConditionallySelectable.conditional_swap
(a b : Std.U64) (choice : subtle.Choice) : Result (Std.U64 × Std.U64) :=
ok (if choice.val = 0 then (a, b) else (b, a))
/-- [curve25519::field::{curve25519::backend::serial::u64::field::FieldElement51}::internal_invert_batch]:
Source: 'curve25519/solana-ed25519/src/field.rs', lines 195:4-229:5
AXIOM (deliberate): extracted opaque via charon `--opaque`. Dead code under
the extraction feature set (its only caller `invert_batch_alloc` is
alloc-gated); its iterator `rev/zip` loops have no Aeneas model. Give it a
model here if batch inversion ever becomes a verification target. -/
axiom field.FieldElement51.internal_invert_batch
:
Slice backend.serial.u64.field.FieldElement51 → Slice
backend.serial.u64.field.FieldElement51 → Result ((Slice
backend.serial.u64.field.FieldElement51) × (Slice
backend.serial.u64.field.FieldElement51))