X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frsx_drops.ma;h=cf607f56b7de0fac4f4bd0c8530bcd0d6a397301;hp=5a4dd983ca7ffae3d6fcb26b5393b3403b12c82e;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma index 5a4dd983c..cf607f56b 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_drops.ma @@ -23,7 +23,7 @@ include "basic_2/rt_computation/rsx_fqup.ma". (* Note: this uses length *) (* Basic_2A1: uses: lsx_lift_le lsx_lift_ge *) -lemma rsx_lifts (h) (G): d_liftable1_isuni … (λL,T. G ⊢ ⬈*[h,T] 𝐒⦃L⦄). +lemma rsx_lifts (h) (G): d_liftable1_isuni … (λL,T. G ⊢ ⬈*[h,T] 𝐒❪L❫). #h #G #K #T #H @(rsx_ind … H) -K #K1 #_ #IH #b #f #L1 #HLK1 #Hf #U #HTU @rsx_intro #L2 #HL12 #HnL12 elim (lpx_drops_conf … HLK1 … HL12) @@ -33,7 +33,7 @@ qed-. (* Inversion lemmas on relocation *******************************************) (* Basic_2A1: uses: lsx_inv_lift_le lsx_inv_lift_be lsx_inv_lift_ge *) -lemma rsx_inv_lifts (h) (G): d_deliftable1_isuni … (λL,T. G ⊢ ⬈*[h,T] 𝐒⦃L⦄). +lemma rsx_inv_lifts (h) (G): d_deliftable1_isuni … (λL,T. G ⊢ ⬈*[h,T] 𝐒❪L❫). #h #G #L #U #H @(rsx_ind … H) -L #L1 #_ #IH #b #f #K1 #HLK1 #Hf #T #HTU @rsx_intro #K2 #HK12 #HnK12 elim (drops_lpx_trans … HLK1 … HK12) -HK12 @@ -43,13 +43,13 @@ qed-. (* Advanced properties ******************************************************) (* Basic_2A1: uses: lsx_lref_free *) -lemma rsx_lref_atom_drops (h) (G): ∀L,i. ⇩*[Ⓕ,𝐔❴i❵] L ≘ ⋆ → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄. +lemma rsx_lref_atom_drops (h) (G): ∀L,i. ⇩*[Ⓕ,𝐔❨i❩] L ≘ ⋆ → G ⊢ ⬈*[h,#i] 𝐒❪L❫. #h #G #L1 #i #HL1 @(rsx_lifts … (#0) … HL1) -HL1 // qed. (* Basic_2A1: uses: lsx_lref_skip *) -lemma rsx_lref_unit_drops (h) (G): ∀I,L,K,i. ⇩*[i] L ≘ K.ⓤ{I} → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄. +lemma rsx_lref_unit_drops (h) (G): ∀I,L,K,i. ⇩*[i] L ≘ K.ⓤ[I] → G ⊢ ⬈*[h,#i] 𝐒❪L❫. #h #G #I #L1 #K1 #i #HL1 @(rsx_lifts … (#0) … HL1) -HL1 // qed. @@ -58,8 +58,8 @@ qed. (* Basic_2A1: uses: lsx_fwd_lref_be *) lemma rsx_fwd_lref_pair_drops (h) (G): - ∀L,i. G ⊢ ⬈*[h,#i] 𝐒⦃L⦄ → - ∀I,K,V. ⇩*[i] L ≘ K.ⓑ{I}V → G ⊢ ⬈*[h,V] 𝐒⦃K⦄. + ∀L,i. G ⊢ ⬈*[h,#i] 𝐒❪L❫ → + ∀I,K,V. ⇩*[i] L ≘ K.ⓑ[I]V → G ⊢ ⬈*[h,V] 𝐒❪K❫. #h #G #L #i #HL #I #K #V #HLK lapply (rsx_inv_lifts … HL … HLK … (#0) ?) -L /2 width=2 by rsx_fwd_pair/