aboutsummaryrefslogtreecommitdiff
path: root/src/CompleteEdwardsCurve/ExtendedCoordinatesIssue.v
diff options
context:
space:
mode:
Diffstat (limited to 'src/CompleteEdwardsCurve/ExtendedCoordinatesIssue.v')
-rw-r--r--src/CompleteEdwardsCurve/ExtendedCoordinatesIssue.v38
1 files changed, 0 insertions, 38 deletions
diff --git a/src/CompleteEdwardsCurve/ExtendedCoordinatesIssue.v b/src/CompleteEdwardsCurve/ExtendedCoordinatesIssue.v
deleted file mode 100644
index 8d24f2cd2..000000000
--- a/src/CompleteEdwardsCurve/ExtendedCoordinatesIssue.v
+++ /dev/null
@@ -1,38 +0,0 @@
-Require Import Crypto.ModularArithmetic.PrimeFieldTheorems.
-Require Import Crypto.Spec.CompleteEdwardsCurve.
-
-Section ExtendedCoordinates.
- Local Open Scope F_scope.
-
- Context {prm:TwistedEdwardsParams}.
- Context {p:BinInt.Z} {p_eq_q:p = q}.
- Lemma prime_p : Znumtheory.prime p.
- rewrite p_eq_q; exact prime_q.
- Qed.
-
- Add Field Ffield_Z : (@Ffield_theory p prime_p)
- (morphism (@Fring_morph p),
- preprocess [Fpreprocess],
- postprocess [Fpostprocess],
- constants [Fconstant],
- div (@Fmorph_div_theory p),
- power_tac (@Fpower_theory p) [Fexp_tac]).
-
- Lemma biggerFraction : forall XP YP ZP XQ YQ ZQ d : F q,
- ZQ <> 0 ->
- ZP <> 0 ->
- ZP * ZQ * ZP * ZQ + d * XP * XQ * YP * YQ <> 0 ->
- ZP * ZToField 2 * ZQ * (ZP * ZQ) + XP * YP * ZToField 2 * d * (XQ * YQ) <> 0 ->
- ZP * ZToField 2 * ZQ * (ZP * ZQ) - XP * YP * ZToField 2 * d * (XQ * YQ) <> 0 ->
-
- ((YP + XP) * (YQ + XQ) - (YP - XP) * (YQ - XQ)) *
- (ZP * ZToField 2 * ZQ - XP * YP / ZP * ZToField 2 * d * (XQ * YQ / ZQ)) /
- ((ZP * ZToField 2 * ZQ - XP * YP / ZP * ZToField 2 * d * (XQ * YQ / ZQ)) *
- (ZP * ZToField 2 * ZQ + XP * YP / ZP * ZToField 2 * d * (XQ * YQ / ZQ))) =
- (XP / ZP * (YQ / ZQ) + YP / ZP * (XQ / ZQ)) / (1 + d * (XP / ZP) * (XQ / ZQ) * (YP / ZP) * (YQ / ZQ)).
- Proof.
- rewrite <-p_eq_q.
- intros.
- abstract (field; assumption).
- Qed.
-End ExtendedCoordinates. \ No newline at end of file