X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fgr_sle.ma;h=74c15789f00bbc773189e17d68b58a735bfe6bf2;hp=8aec4d513fcbf0df6c4a912fad2b9455dd88de09;hb=dc605ae41c39773f55381f241b1ed3db4acf5edd;hpb=caf822cbe34e204e6d1b72e272373b561c1a565a diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle.ma index 8aec4d513..74c15789f 100644 --- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle.ma +++ b/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle.ma @@ -124,21 +124,21 @@ qed-. (*** sle_px_tl *) lemma gr_sle_push_sn_tl: - ∀g1,g2. g1 ⊆ g2 → ∀f1. ⫯f1 = g1 → f1 ⊆ ⫱g2. + ∀g1,g2. g1 ⊆ g2 → ∀f1. ⫯f1 = g1 → f1 ⊆ ⫰g2. #g1 #g2 #H #f1 #H1 elim (gr_sle_inv_push_sn … H … H1) -H -H1 * // qed. (*** sle_xn_tl *) lemma gr_sle_next_dx_tl: - ∀g1,g2. g1 ⊆ g2 → ∀f2. ↑f2 = g2 → ⫱g1 ⊆ f2. + ∀g1,g2. g1 ⊆ g2 → ∀f2. ↑f2 = g2 → ⫰g1 ⊆ f2. #g1 #g2 #H #f2 #H2 elim (gr_sle_inv_next_dx … H … H2) -H -H2 * // qed. (*** sle_tl *) lemma gr_sle_tl: - ∀f1,f2. f1 ⊆ f2 → ⫱f1 ⊆ ⫱f2. + ∀f1,f2. f1 ⊆ f2 → ⫰f1 ⊆ ⫰f2. #f1 elim (gr_map_split_tl f1) #H1 #f2 #H [ lapply (gr_sle_push_sn_tl … H … H1) -H // | elim (gr_sle_inv_next_sn … H … H1) -H // @@ -149,14 +149,14 @@ qed. (*** sle_inv_tl_sn *) lemma gr_sle_inv_tl_sn: - ∀f1,f2. ⫱f1 ⊆ f2 → f1 ⊆ ↑f2. + ∀f1,f2. ⫰f1 ⊆ f2 → f1 ⊆ ↑f2. #f1 elim (gr_map_split_tl f1) #H #f2 #Hf12 /2 width=5 by gr_sle_next, gr_sle_weak/ qed-. (*** sle_inv_tl_dx *) lemma gr_sle_inv_tl_dx: - ∀f1,f2. f1 ⊆ ⫱f2 → ⫯f1 ⊆ f2. + ∀f1,f2. f1 ⊆ ⫰f2 → ⫯f1 ⊆ f2. #f1 #f2 elim (gr_map_split_tl f2) #H #Hf12 /2 width=5 by gr_sle_push, gr_sle_weak/ qed-.