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authorErik Martin-Dorel2019-02-27 17:31:35 +0100
committerErik Martin-Dorel2019-03-20 12:54:26 +0100
commitc07f1f8d89dd1f975e06e8c45df2c7a4e6ca7fc3 (patch)
tree73c109057bf3f18127be887fcc1b2e0ba82ff3e2 /mathcomp/algebra/matrix.v
parent4c8455594c5adff08761037a5919c058d0d502ba (diff)
Add extra eta lemmas for the under tactic
Related: coq/coq#9651
Diffstat (limited to 'mathcomp/algebra/matrix.v')
-rw-r--r--mathcomp/algebra/matrix.v5
1 files changed, 5 insertions, 0 deletions
diff --git a/mathcomp/algebra/matrix.v b/mathcomp/algebra/matrix.v
index 3b12802..2580741 100644
--- a/mathcomp/algebra/matrix.v
+++ b/mathcomp/algebra/matrix.v
@@ -232,8 +232,13 @@ rewrite /fun_of_matrix; split=> [/= eqAB | -> //].
by apply/val_inj/ffunP=> [[i j]]; apply: eqAB.
Qed.
+Lemma eq_mx k F1 F2 : (F1 =2 F2) -> matrix_of_fun k F1 = matrix_of_fun k F2.
+Proof. by move=> eq_F; apply/matrixP => i j; rewrite !mxE eq_F. Qed.
+
End MatrixDef.
+Arguments eq_mx {R m n k} [F1] F2 eq_F12.
+
Bind Scope ring_scope with matrix.
Notation "''M[' R ]_ ( m , n )" := (matrix R m n) (only parsing): type_scope.