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-rw-r--r--mathcomp/algebra/matrix.v3
1 files changed, 3 insertions, 0 deletions
diff --git a/mathcomp/algebra/matrix.v b/mathcomp/algebra/matrix.v
index a7920ed..100eed7 100644
--- a/mathcomp/algebra/matrix.v
+++ b/mathcomp/algebra/matrix.v
@@ -1678,6 +1678,9 @@ apply/rowP=> j; rewrite !mxE (bigD1_ord i) //= mxE !eqxx mul1r.
by rewrite big1 ?addr0 // => i'; rewrite mxE /= lift_eqF mul0r.
Qed.
+Lemma mul_rVP m n A B :((@mulmx 1 m n)^~ A =1 mulmx^~ B) <-> (A = B).
+Proof. by split=> [eqAB|->//]; apply/row_matrixP => i; rewrite !rowE eqAB. Qed.
+
Lemma row_mul m n p (i : 'I_m) A (B : 'M_(n, p)) :
row i (A *m B) = row i A *m B.
Proof. by rewrite !rowE mulmxA. Qed.