X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fpr_pat_pat.ma;h=245583f91a5ac1714f8e89c744021464081a3b51;hb=8f1a123e61ff079b1f9ad63cc915470ec7e6abf3;hp=20ce2220b3207be6115b6fe58a3e4bc08e824320;hpb=11093619476326238c2ef9d2dfe9150b8c9bc920;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_pat_pat.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_pat_pat.ma index 20ce2220b..245583f91 100644 --- a/matita/matita/contribs/lambdadelta/ground/relocation/pr_pat_pat.ma +++ b/matita/matita/contribs/lambdadelta/ground/relocation/pr_pat_pat.ma @@ -21,7 +21,7 @@ include "ground/relocation/pr_pat.ma". (*** at_monotonic *) theorem pr_pat_monotonic: - ∀j2,i2,f. @❨i2,f❩ ≘ j2 → ∀j1,i1. @❨i1,f❩ ≘ j1 → + ∀j2,i2,f. @⧣❨i2,f❩ ≘ j2 → ∀j1,i1. @⧣❨i1,f❩ ≘ j1 → i1 < i2 → j1 < j2. #j2 elim j2 -j2 [ #i2 #f #H2f elim (pr_pat_inv_unit_dx … H2f) -H2f // @@ -39,7 +39,7 @@ qed-. (*** at_inv_monotonic *) theorem pr_pat_inv_monotonic: - ∀j1,i1,f. @❨i1,f❩ ≘ j1 → ∀j2,i2. @❨i2,f❩ ≘ j2 → + ∀j1,i1,f. @⧣❨i1,f❩ ≘ j1 → ∀j2,i2. @⧣❨i2,f❩ ≘ j2 → j1 < j2 → i1 < i2. #j1 elim j1 -j1 [ #i1 #f #H1f elim (pr_pat_inv_unit_dx … H1f) -H1f // @@ -62,7 +62,7 @@ qed-. (*** at_mono *) theorem pr_pat_mono (f) (i): - ∀i1. @❨i,f❩ ≘ i1 → ∀i2. @❨i,f❩ ≘ i2 → i2 = i1. + ∀i1. @⧣❨i,f❩ ≘ i1 → ∀i2. @⧣❨i,f❩ ≘ i2 → i2 = i1. #f #i #i1 #H1 #i2 #H2 elim (pnat_split_lt_eq_gt i2 i1) // #Hi elim (plt_ge_false i i) /2 width=6 by pr_pat_inv_monotonic/ @@ -70,7 +70,7 @@ qed-. (*** at_inj *) theorem pr_pat_inj (f) (i): - ∀i1. @❨i1,f❩ ≘ i → ∀i2. @❨i2,f❩ ≘ i → i1 = i2. + ∀i1. @⧣❨i1,f❩ ≘ i → ∀i2. @⧣❨i2,f❩ ≘ i → i1 = i2. #f #i #i1 #H1 #i2 #H2 elim (pnat_split_lt_eq_gt i2 i1) // #Hi elim (plt_ge_false i i) /2 width=6 by pr_pat_monotonic/