diff options
| -rwxr-xr-x | theories/Sets/Finite_sets_facts.v | 2 | ||||
| -rwxr-xr-x | theories/Sets/Relations_1_facts.v | 7 |
2 files changed, 6 insertions, 3 deletions
diff --git a/theories/Sets/Finite_sets_facts.v b/theories/Sets/Finite_sets_facts.v index da50904c5..b19fba44a 100755 --- a/theories/Sets/Finite_sets_facts.v +++ b/theories/Sets/Finite_sets_facts.v @@ -189,7 +189,7 @@ Clear H'. Intro H'; Red in H'. Elim H'; Intros H'0 H'1; Red in H'0; Clear H' H'1. Absurd (In U (Add U X0 x0) x); Auto with sets. -LApply (Add_inv U X0 x0 x); Intuition. +LApply (Add_inv U X0 x0 x); [ Intuition | Apply (H'0 x); Apply Add_intro2 ]. Qed. Lemma cardinal_Empty : (m:nat)(cardinal U (Empty_set U) m) -> O = m. diff --git a/theories/Sets/Relations_1_facts.v b/theories/Sets/Relations_1_facts.v index c86e57318..ad6b55c0c 100755 --- a/theories/Sets/Relations_1_facts.v +++ b/theories/Sets/Relations_1_facts.v @@ -79,13 +79,16 @@ Theorem cong_symmetric_same_relation: (U:Type) (R, R':(Relation U)) (same_relation U R R') -> (Symmetric U R) -> (Symmetric U R'). Proof. -Intuition. + Compute;Intros;Elim H;Intros;Clear H;Apply (H3 y x (H0 x y (H2 x y H1))). +(*Intuition.*) Qed. Theorem cong_antisymmetric_same_relation: (U:Type) (R, R':(Relation U)) (same_relation U R R') -> (Antisymmetric U R) -> (Antisymmetric U R'). -Intuition. +Proof. + Compute;Intros;Elim H;Intros;Clear H;Apply (H0 x y (H3 x y H1) (H3 y x H2)). +(*Intuition.*) Qed. Theorem cong_transitive_same_relation: |