X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_2%2Fsteps%2Frtc_shift.ma;h=9601be038fdb753b502154fbf3753cd5e9d4bcb0;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=165e1eeda586863948d44f2f2c2ab32a061ac84d;hpb=5b5dca0c118dfbe3ba8f0514ef07549544eb7810;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma index 165e1eeda..9601be038 100644 --- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma +++ b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma @@ -12,6 +12,7 @@ (* *) (**************************************************************************) +include "ground_2/xoa/ex_5_4.ma". include "ground_2/notation/functions/updownarrowstar_1.ma". include "ground_2/steps/rtc_isrt.ma". @@ -43,18 +44,18 @@ qed-. (* Properties with test for costrained rt-transition counter ****************) -lemma isr_shift: ∀c. 𝐑𝐓⦃0,c⦄ → 𝐑𝐓⦃0,↕*c⦄. +lemma isr_shift: ∀c. 𝐑𝐓❪0,c❫ → 𝐑𝐓❪0,↕*c❫. #c * #ri #rs #H destruct /2 width=3 by ex1_2_intro/ qed. (* Inversion properties with test for costrained rt-counter *****************) -lemma isrt_inv_shift: ∀n,c. 𝐑𝐓⦃n,↕*c⦄ → 𝐑𝐓⦃0,c⦄ ∧ 0 = n. +lemma isrt_inv_shift: ∀n,c. 𝐑𝐓❪n,↕*c❫ → 𝐑𝐓❪0,c❫ ∧ 0 = n. #n #c * #ri #rs #H elim (shift_inv_dx … H) -H #rt0 #rs0 #ti0 #ts0 #_ #_ #H1 #H2 #H3 elim (max_inv_O3 … H1) -H1 /3 width=3 by ex1_2_intro, conj/ qed-. -lemma isr_inv_shift: ∀c. 𝐑𝐓⦃0,↕*c⦄ → 𝐑𝐓⦃0,c⦄. +lemma isr_inv_shift: ∀c. 𝐑𝐓❪0,↕*c❫ → 𝐑𝐓❪0,c❫. #c #H elim (isrt_inv_shift … H) -H // qed-.