X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fmultiple%2Fmr2_plus.ma;h=99b2d4b17474eb2504a2e85ae79de895855a4b71;hb=37e1b4f314ffae815beca71300688040f8da6939;hp=bedc3dae21c030f3df8497343e90e8950c967954;hpb=c60524dec7ace912c416a90d6b926bee8553250b;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/multiple/mr2_plus.ma b/matita/matita/contribs/lambdadelta/basic_2/multiple/mr2_plus.ma index bedc3dae2..99b2d4b17 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/multiple/mr2_plus.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/multiple/mr2_plus.ma @@ -16,9 +16,9 @@ include "basic_2/multiple/mr2.ma". (* MULTIPLE RELOCATION WITH PAIRS *******************************************) -let rec pluss (des:list2 nat nat) (i:nat) on des ≝ match des with +let rec pluss (cs:list2 nat nat) (i:nat) on cs ≝ match cs with [ nil2 ⇒ ◊ -| cons2 l m des ⇒ {l + i, m} @ pluss des i +| cons2 l m cs ⇒ {l + i, m} @ pluss cs i ]. interpretation "plus (multiple relocation with pairs)" @@ -26,15 +26,15 @@ interpretation "plus (multiple relocation with pairs)" (* Basic inversion lemmas ***************************************************) -lemma pluss_inv_nil2: ∀i,des. des + i = ◊ → des = ◊. +lemma pluss_inv_nil2: ∀i,cs. cs + i = ◊ → cs = ◊. #i * // normalize -#l #m #des #H destruct +#l #m #cs #H destruct qed. -lemma pluss_inv_cons2: ∀i,l,m,des2,des. des + i = {l, m} @ des2 → - ∃∃des1. des1 + i = des2 & des = {l - i, m} @ des1. -#i #l #m #des2 * normalize +lemma pluss_inv_cons2: ∀i,l,m,cs2,cs. cs + i = {l, m} @ cs2 → + ∃∃cs1. cs1 + i = cs2 & cs = {l - i, m} @ cs1. +#i #l #m #cs2 * normalize [ #H destruct -| #l1 #m1 #des1 #H destruct /2 width=3/ +| #l1 #m1 #cs1 #H destruct /2 width=3 by ex2_intro/ ] qed-.