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authorGravatar Robert Sloan <varomodt@gmail.com>2016-06-22 14:06:28 -0400
committerGravatar Robert Sloan <varomodt@gmail.com>2016-06-22 14:06:28 -0400
commit2f44fe53e1a598b524e11cda3dc9ce7a04534247 (patch)
tree47a77eb4ed8fea3ac5ec99c5bf5ad9131ba44fd9 /src/ModularArithmetic/PrimeFieldTheorems.v
parente101fc5dd8783d029d7a4933c7ccca4a67ed3874 (diff)
parent3d8afe1c9bd905e3a62523e87a2aa7e5d9f5093d (diff)
Merge with plv/master
Diffstat (limited to 'src/ModularArithmetic/PrimeFieldTheorems.v')
-rw-r--r--src/ModularArithmetic/PrimeFieldTheorems.v9
1 files changed, 9 insertions, 0 deletions
diff --git a/src/ModularArithmetic/PrimeFieldTheorems.v b/src/ModularArithmetic/PrimeFieldTheorems.v
index 70a2c4a87..2021e8514 100644
--- a/src/ModularArithmetic/PrimeFieldTheorems.v
+++ b/src/ModularArithmetic/PrimeFieldTheorems.v
@@ -10,6 +10,7 @@ Require Import Coq.ZArith.BinInt Coq.NArith.BinNat Coq.ZArith.ZArith Coq.ZArith.
Require Import Coq.Logic.Eqdep_dec.
Require Import Crypto.Util.NumTheoryUtil Crypto.Util.ZUtil.
Require Import Crypto.Util.Tactics.
+Require Crypto.Algebra.
Existing Class prime.
@@ -51,6 +52,14 @@ Section FieldModuloPre.
Proof.
constructor; auto using Fring_theory, Fq_1_neq_0, F_mul_inv_l.
Qed.
+
+ Global Instance field_modulo : @Algebra.field (F q) Logic.eq (ZToField 0) (ZToField 1) opp add sub mul inv div.
+ Proof.
+ constructor; try solve_proper.
+ - apply commutative_ring_modulo.
+ - split. auto using F_mul_inv_l.
+ - split. auto using Fq_1_neq_0.
+ Qed.
End FieldModuloPre.
Module Type PrimeModulus.