X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frdsx_drops.ma;h=3c1c6ac7eba025e324c0c10e3424d153e50068ba;hp=a27c2a71d0822d20d325d01465f8baa07dc1bedc;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma index a27c2a71d..3c1c6ac7e 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_drops.ma @@ -23,7 +23,7 @@ include "basic_2/rt_computation/rdsx_fqup.ma". (* Note: this uses length *) (* Basic_2A1: uses: lsx_lift_le lsx_lift_ge *) -lemma rdsx_lifts (h) (G): d_liftable1_isuni … (λL,T. G ⊢ ⬈*[h, T] 𝐒⦃L⦄). +lemma rdsx_lifts (h) (G): d_liftable1_isuni … (λL,T. G ⊢ ⬈*[h,T] 𝐒⦃L⦄). #h #G #K #T #H @(rdsx_ind … H) -K #K1 #_ #IH #b #f #L1 #HLK1 #Hf #U #HTU @rdsx_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 rdsx_inv_lifts (h) (G): d_deliftable1_isuni … (λL,T. G ⊢ ⬈*[h, T] 𝐒⦃L⦄). +lemma rdsx_inv_lifts (h) (G): d_deliftable1_isuni … (λL,T. G ⊢ ⬈*[h,T] 𝐒⦃L⦄). #h #G #L #U #H @(rdsx_ind … H) -L #L1 #_ #IH #b #f #K1 #HLK1 #Hf #T #HTU @rdsx_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 rdsx_lref_atom (h) (G): ∀L,i. ⬇*[Ⓕ, 𝐔❴i❵] L ≘ ⋆ → G ⊢ ⬈*[h, #i] 𝐒⦃L⦄. +lemma rdsx_lref_atom (h) (G): ∀L,i. ⬇*[Ⓕ,𝐔❴i❵] L ≘ ⋆ → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄. #h #G #L1 #i #HL1 @(rdsx_lifts … (#0) … HL1) -HL1 // qed. (* Basic_2A1: uses: lsx_lref_skip *) -lemma rdsx_lref_unit (h) (G): ∀I,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → G ⊢ ⬈*[h, #i] 𝐒⦃L⦄. +lemma rdsx_lref_unit (h) (G): ∀I,L,K,i. ⬇*[i] L ≘ K.ⓤ{I} → G ⊢ ⬈*[h,#i] 𝐒⦃L⦄. #h #G #I #L1 #K1 #i #HL1 @(rdsx_lifts … (#0) … HL1) -HL1 // qed. @@ -58,8 +58,8 @@ qed. (* Basic_2A1: uses: lsx_fwd_lref_be *) lemma rdsx_fwd_lref_pair (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 (rdsx_inv_lifts … HL … HLK … (#0) ?) -L /2 width=2 by rdsx_fwd_pair/