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authorCyril Cohen2020-10-30 19:42:56 +0100
committerCyril Cohen2020-11-03 15:14:29 +0100
commitaad2327376b2f76950be51a6bf22b32b0a01b2eb (patch)
tree1433612cdaae78d59a634d4d9ccf8e9c96dea4ec /mathcomp/ssreflect
parentf980c1a579988325efcc5071a8067380a870e403 (diff)
Generalizing inj_card_onto and inj_card_bij.
Diffstat (limited to 'mathcomp/ssreflect')
-rw-r--r--mathcomp/ssreflect/fintype.v4
1 files changed, 3 insertions, 1 deletions
diff --git a/mathcomp/ssreflect/fintype.v b/mathcomp/ssreflect/fintype.v
index 422d760..91d5c80 100644
--- a/mathcomp/ssreflect/fintype.v
+++ b/mathcomp/ssreflect/fintype.v
@@ -1300,7 +1300,9 @@ Qed.
Lemma leq_card : #|T| <= #|T'|. Proof. exact: (leq_card_in (in2W _)). Qed.
-Hypothesis card_range : #|T| = #|T'|.
+Hypothesis card_range : #|T| >= #|T'|.
+
+Let eq_card : #|T| = #|T'|. Proof. by apply/eqP; rewrite eqn_leq leq_card. Qed.
Lemma inj_card_onto y : y \in codom f.
Proof. by move: y; apply/subset_cardP; rewrite ?card_codom ?subset_predT. Qed.