X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcnr_simple.ma;h=20039dafebbca566559ecca2fe3ffd8a65d8fbe5;hp=5dcbada49167ead990362652ea036f8b22831ac3;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_simple.ma index 5dcbada49..20039dafe 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_simple.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_simple.ma @@ -20,7 +20,7 @@ include "basic_2/rt_transition/cnr.ma". (* Inversion lemmas with simple terms ***************************************) lemma cnr_inv_appl (h) (G) (L): - ∀V,T. ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃ⓐV.T⦄ → ∧∧ ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃V⦄ & ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃T⦄ & 𝐒⦃T⦄. + ∀V,T. ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃ⓐV.T⦄ → ∧∧ ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃V⦄ & ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃T⦄ & 𝐒⦃T⦄. #h #G #L #V1 #T1 #HVT1 @and3_intro [ #V2 #HV2 lapply (HVT1 (ⓐV2.T1) ?) -HVT1 /2 width=1 by cpr_pair_sn/ -HV2 #H destruct // | #T2 #HT2 lapply (HVT1 (ⓐV1.T2) ?) -HVT1 /2 width=1 by cpr_flat/ -HT2 #H destruct // @@ -36,7 +36,7 @@ qed-. (* Basic_1: was only: nf2_appl_lref *) lemma cnr_appl_simple (h) (G) (L): - ∀V,T. ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃V⦄ → ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃T⦄ → 𝐒⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h] 𝐍⦃ⓐV.T⦄. + ∀V,T. ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃V⦄ → ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃T⦄ → 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃ⓐV.T⦄. #h #G #L #V #T #HV #HT #HS #X #H elim (cpm_inv_appl1_simple … H) -H // #V0 #T0 #HV0 #HT0 #H destruct <(HV … HV0) -V0 <(HT … HT0) -T0 //