X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fsyntax%2Ftheq_simple.ma;h=d9f59e4a51ccc87b2ab5173bdc70ba39698259e0;hp=9ad5ed55081e8f3ed030a6d2af2a124ae85c7b19;hb=4173283e148199871d787c53c0301891deb90713;hpb=a67fc50ccfda64377e2c94c18c3a0d9265f651db diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/theq_simple.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/theq_simple.ma index 9ad5ed550..d9f59e4a5 100644 --- a/matita/matita/contribs/lambdadelta/static_2/syntax/theq_simple.ma +++ b/matita/matita/contribs/lambdadelta/static_2/syntax/theq_simple.ma @@ -20,12 +20,12 @@ include "static_2/syntax/theq.ma". (* Properies with simple (neutral) terms ************************************) (* Basic_2A1: was: simple_tsts_repl_dx *) -lemma simple_theq_repl_dx: ∀h,o,T1,T2. T1 ⩳[h, o] T2 → 𝐒⦃T1⦄ → 𝐒⦃T2⦄. -#h #o #T1 #T2 * -T1 -T2 // +lemma simple_theq_repl_dx: ∀T1,T2. T1 ⩳ T2 → 𝐒⦃T1⦄ → 𝐒⦃T2⦄. +#T1 #T2 * -T1 -T2 // #I #V1 #V2 #T1 #T2 #H elim (simple_inv_pair … H) -H #J #H destruct // qed-. (* Basic_2A1: was: simple_tsts_repl_sn *) -lemma simple_theq_repl_sn: ∀h,o,T1,T2. T1 ⩳[h, o] T2 → 𝐒⦃T2⦄ → 𝐒⦃T1⦄. -/3 width=5 by simple_theq_repl_dx, theq_sym/ qed-. +lemma simple_theq_repl_sn: ∀T1,T2. T1 ⩳ T2 → 𝐒⦃T2⦄ → 𝐒⦃T1⦄. +/3 width=3 by simple_theq_repl_dx, theq_sym/ qed-.