X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fgr_sand_eq.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fgr_sand_eq.ma;h=0000000000000000000000000000000000000000;hb=f8b4eb67c2437f7b5174d7dca46e102e0ac0d19d;hp=86c2a71dcc32ca8607e70eb124b589a78cd946f8;hpb=8bbe582d87984526f40182c4409cbfd43108cb79;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_sand_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_sand_eq.ma deleted file mode 100644 index 86c2a71dc..000000000 --- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_sand_eq.ma +++ /dev/null @@ -1,65 +0,0 @@ -(**************************************************************************) -(* ___ *) -(* ||M|| *) -(* ||A|| A project by Andrea Asperti *) -(* ||T|| *) -(* ||I|| Developers: *) -(* ||T|| The HELM team. *) -(* ||A|| http://helm.cs.unibo.it *) -(* \ / *) -(* \ / This file is distributed under the terms of the *) -(* v GNU General Public License Version 2 *) -(* *) -(**************************************************************************) - -include "ground/relocation/gr_tl_eq.ma". -include "ground/relocation/gr_sand.ma". - -(* RELATIONAL INTERSECTION FOR GENERIC RELOCATION MAPS **********************) - -(* Constructions with gr_eq *************************************************) - -(*** sand_eq_repl_back1 *) -corec lemma gr_sand_eq_repl_back_sn: - ∀f2,f. gr_eq_repl_back … (λf1. f1 ⋒ f2 ≘ f). -#f2 #f #f1 * -f1 -f2 -f -#f1 #f2 #f #g1 #g2 #g #Hf #H1 #H2 #H0 #x #Hx -try cases (gr_eq_inv_push_sn … Hx … H1) try cases (gr_eq_inv_next_sn … Hx … H1) -g1 -/3 width=7 by gr_sand_push_bi, gr_sand_next_push, gr_sand_push_next, gr_sand_next_bi/ -qed-. - -(*** sand_eq_repl_fwd1 *) -lemma gr_sand_eq_repl_fwd_sn: - ∀f2,f. gr_eq_repl_fwd … (λf1. f1 ⋒ f2 ≘ f). -#f2 #f @gr_eq_repl_sym /2 width=3 by gr_sand_eq_repl_back_sn/ -qed-. - -(*** sand_eq_repl_back2 *) -corec lemma gr_sand_eq_repl_back_dx: - ∀f1,f. gr_eq_repl_back … (λf2. f1 ⋒ f2 ≘ f). -#f1 #f #f2 * -f1 -f2 -f -#f1 #f2 #f #g1 #g2 #g #Hf #H #H2 #H0 #x #Hx -try cases (gr_eq_inv_push_sn … Hx … H2) try cases (gr_eq_inv_next_sn … Hx … H2) -g2 -/3 width=7 by gr_sand_push_bi, gr_sand_next_push, gr_sand_push_next, gr_sand_next_bi/ -qed-. - -(*** sand_eq_repl_fwd2 *) -lemma sand_eq_repl_fwd_dx: - ∀f1,f. gr_eq_repl_fwd … (λf2. f1 ⋒ f2 ≘ f). -#f1 #f @gr_eq_repl_sym /2 width=3 by gr_sand_eq_repl_back_dx/ -qed-. - -(*** sand_eq_repl_back3 *) -corec lemma gr_sand_eq_repl_back: - ∀f1,f2. gr_eq_repl_back … (λf. f1 ⋒ f2 ≘ f). -#f1 #f2 #f * -f1 -f2 -f -#f1 #f2 #f #g1 #g2 #g #Hf #H #H2 #H0 #x #Hx -try cases (gr_eq_inv_push_sn … Hx … H0) try cases (gr_eq_inv_next_sn … Hx … H0) -g -/3 width=7 by gr_sand_push_bi, gr_sand_next_push, gr_sand_push_next, gr_sand_next_bi/ -qed-. - -(*** sand_eq_repl_fwd3 *) -lemma gr_sand_eq_repl_fwd: - ∀f1,f2. gr_eq_repl_fwd … (λf. f1 ⋒ f2 ≘ f). -#f1 #f2 @gr_eq_repl_sym /2 width=3 by gr_sand_eq_repl_back/ -qed-.