X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffrees_append.ma;h=42523bb395637591e9c0e89d191d2384241f50fe;hp=ce8d3480824fa6d7940439df86d12ede35205b87;hb=a454837a256907d2f83d42ced7be847e10361ea9;hpb=b4283c079ed7069016b8d924bbc7e08872440829 diff --git a/matita/matita/contribs/lambdadelta/static_2/static/frees_append.ma b/matita/matita/contribs/lambdadelta/static_2/static/frees_append.ma index ce8d34808..42523bb39 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/frees_append.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/frees_append.ma @@ -19,7 +19,7 @@ include "static_2/static/frees.ma". (* Properties with append for local environments ****************************) -lemma frees_append_void: ∀f,K,T. K ⊢ 𝐅*⦃T⦄ ≘ f → ⓧ.K ⊢ 𝐅*⦃T⦄ ≘ f. +lemma frees_append_void: ∀f,K,T. K ⊢ 𝐅+⦃T⦄ ≘ f → ⓧ.K ⊢ 𝐅+⦃T⦄ ≘ f. #f #K #T #H elim H -f -K -T [ /2 width=1 by frees_sort/ | #f * /3 width=1 by frees_atom, frees_unit, frees_lref/ @@ -34,8 +34,9 @@ qed. (* Inversion lemmas with append for local environments **********************) -fact frees_inv_append_void_aux: ∀f,L,T. L ⊢ 𝐅*⦃T⦄ ≘ f → - ∀K. L = ⓧ.K → K ⊢ 𝐅*⦃T⦄ ≘ f. +fact frees_inv_append_void_aux: + ∀f,L,T. L ⊢ 𝐅+⦃T⦄ ≘ f → + ∀K. L = ⓧ.K → K ⊢ 𝐅+⦃T⦄ ≘ f. #f #L #T #H elim H -f -L -T [ /2 width=1 by frees_sort/ | #f #i #_ #K #H @@ -55,5 +56,5 @@ fact frees_inv_append_void_aux: ∀f,L,T. L ⊢ 𝐅*⦃T⦄ ≘ f → ] qed-. -lemma frees_inv_append_void: ∀f,K,T. ⓧ.K ⊢ 𝐅*⦃T⦄ ≘ f → K ⊢ 𝐅*⦃T⦄ ≘ f. +lemma frees_inv_append_void: ∀f,K,T. ⓧ.K ⊢ 𝐅+⦃T⦄ ≘ f → K ⊢ 𝐅+⦃T⦄ ≘ f. /2 width=3 by frees_inv_append_void_aux/ qed-.