X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fgr_after_ist.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fgr_after_ist.ma;h=0000000000000000000000000000000000000000;hb=f8b4eb67c2437f7b5174d7dca46e102e0ac0d19d;hp=466df35ed3e341c0166218b5053ef20fe3d606d4;hpb=8bbe582d87984526f40182c4409cbfd43108cb79;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_ist.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_ist.ma deleted file mode 100644 index 466df35ed..000000000 --- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_after_ist.ma +++ /dev/null @@ -1,60 +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_pat_lt.ma". -include "ground/relocation/gr_ist.ma". -include "ground/relocation/gr_after_pat.ma". - -(* RELATIONAL COMPOSITION FOR GENERIC RELOCATION MAPS ***********************) - -(* Destructions with gr_ist *************************************************) - -(*** after_istot_fwd *) -lemma gr_after_ist_des: - ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f2❫ → 𝐓❪f1❫ → 𝐓❪f❫. -#f2 #f1 #f #Hf #Hf2 #Hf1 #i1 elim (Hf1 i1) -Hf1 -#i2 #Hf1 elim (Hf2 i2) -Hf2 -/3 width=7 by gr_after_des_pat, ex_intro/ -qed-. - -(*** after_fwd_istot_dx *) -lemma gr_after_des_ist_dx: - ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f❫ → 𝐓❪f1❫. -#f2 #f1 #f #H #Hf #i1 elim (Hf i1) -Hf -#i2 #Hf elim (gr_after_pat_des … Hf … H) -f /2 width=2 by ex_intro/ -qed-. - -(*** after_fwd_istot_sn *) -lemma gr_after_des_ist_sn: - ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f❫ → 𝐓❪f2❫. -#f2 #f1 #f #H #Hf #i1 elim (Hf i1) -Hf -#i #Hf elim (gr_after_pat_des … Hf … H) -f -#i2 #Hf1 #Hf2 lapply (gr_pat_increasing … Hf1) -f1 -#Hi12 elim (gr_pat_le_ex … Hf2 … Hi12) -i2 /2 width=2 by ex_intro/ -qed-. - -(*** after_at1_fwd *) -lemma gr_after_des_ist_pat: - ∀f1,i1,i2. @❪i1, f1❫ ≘ i2 → ∀f2. 𝐓❪f2❫ → ∀f. f2 ⊚ f1 ≘ f → - ∃∃i. @❪i2, f2❫ ≘ i & @❪i1, f❫ ≘ i. -#f1 #i1 #i2 #Hf1 #f2 #Hf2 #f #Hf elim (Hf2 i2) -Hf2 -/3 width=8 by gr_after_des_pat, ex2_intro/ -qed-. - -(* Inversions with gr_ist ***************************************************) - -(*** after_inv_istot *) -lemma gr_after_inv_ist: - ∀f2,f1,f. f2 ⊚ f1 ≘ f → 𝐓❪f❫ → ∧∧ 𝐓❪f2❫ & 𝐓❪f1❫. -/3 width=4 by gr_after_des_ist_sn, gr_after_des_ist_dx, conj/ qed-.