X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffsb_aaa.ma;h=756353fb35cc7b870355588c4ab8c80459d6ddac;hp=b95c6ced6f27940cee4ca3a022484537d759e059;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_aaa.ma index b95c6ced6..756353fb3 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_aaa.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_aaa.ma @@ -21,17 +21,17 @@ include "basic_2/rt_computation/fsb_csx.ma". (* Main properties with atomic arity assignment for terms *******************) -theorem aaa_fsb: ∀h,G,L,T,A. ⦃G,L⦄ ⊢ T ⁝ A → ≥[h] 𝐒⦃G,L,T⦄. +theorem aaa_fsb: ∀h,G,L,T,A. ❪G,L❫ ⊢ T ⁝ A → ≥[h] 𝐒❪G,L,T❫. /3 width=2 by aaa_csx, csx_fsb/ qed. (* Advanced eliminators with atomic arity assignment for terms **************) fact aaa_ind_fpb_aux: ∀h. ∀Q:relation3 …. - (∀G1,L1,T1,A. ⦃G1,L1⦄ ⊢ T1 ⁝ A → - (∀G2,L2,T2. ⦃G1,L1,T1⦄ ≻[h] ⦃G2,L2,T2⦄ → Q G2 L2 T2) → + (∀G1,L1,T1,A. ❪G1,L1❫ ⊢ T1 ⁝ A → + (∀G2,L2,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → Q G2 L2 T2) → Q G1 L1 T1 ) → - ∀G,L,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ∀A. ⦃G,L⦄ ⊢ T ⁝ A → Q G L T. + ∀G,L,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T❫ → ∀A. ❪G,L❫ ⊢ T ⁝ A → Q G L T. #h #R #IH #G #L #T #H @(csx_ind_fpb … H) -G -L -T #G1 #L1 #T1 #H1 #IH1 #A1 #HTA1 @IH -IH // #G2 #L2 #T2 #H12 elim (fpbs_aaa_conf … G2 … L2 … T2 … HTA1) -A1 @@ -39,19 +39,19 @@ fact aaa_ind_fpb_aux: ∀h. ∀Q:relation3 …. qed-. lemma aaa_ind_fpb: ∀h. ∀Q:relation3 …. - (∀G1,L1,T1,A. ⦃G1,L1⦄ ⊢ T1 ⁝ A → - (∀G2,L2,T2. ⦃G1,L1,T1⦄ ≻[h] ⦃G2,L2,T2⦄ → Q G2 L2 T2) → + (∀G1,L1,T1,A. ❪G1,L1❫ ⊢ T1 ⁝ A → + (∀G2,L2,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → Q G2 L2 T2) → Q G1 L1 T1 ) → - ∀G,L,T,A. ⦃G,L⦄ ⊢ T ⁝ A → Q G L T. + ∀G,L,T,A. ❪G,L❫ ⊢ T ⁝ A → Q G L T. /4 width=4 by aaa_ind_fpb_aux, aaa_csx/ qed-. fact aaa_ind_fpbg_aux: ∀h. ∀Q:relation3 …. - (∀G1,L1,T1,A. ⦃G1,L1⦄ ⊢ T1 ⁝ A → - (∀G2,L2,T2. ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄ → Q G2 L2 T2) → + (∀G1,L1,T1,A. ❪G1,L1❫ ⊢ T1 ⁝ A → + (∀G2,L2,T2. ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫ → Q G2 L2 T2) → Q G1 L1 T1 ) → - ∀G,L,T. ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ∀A. ⦃G,L⦄ ⊢ T ⁝ A → Q G L T. + ∀G,L,T. ❪G,L❫ ⊢ ⬈*[h] 𝐒❪T❫ → ∀A. ❪G,L❫ ⊢ T ⁝ A → Q G L T. #h #Q #IH #G #L #T #H @(csx_ind_fpbg … H) -G -L -T #G1 #L1 #T1 #H1 #IH1 #A1 #HTA1 @IH -IH // #G2 #L2 #T2 #H12 elim (fpbs_aaa_conf … G2 … L2 … T2 … HTA1) -A1 @@ -59,9 +59,9 @@ fact aaa_ind_fpbg_aux: ∀h. ∀Q:relation3 …. qed-. lemma aaa_ind_fpbg: ∀h. ∀Q:relation3 …. - (∀G1,L1,T1,A. ⦃G1,L1⦄ ⊢ T1 ⁝ A → - (∀G2,L2,T2. ⦃G1,L1,T1⦄ >[h] ⦃G2,L2,T2⦄ → Q G2 L2 T2) → + (∀G1,L1,T1,A. ❪G1,L1❫ ⊢ T1 ⁝ A → + (∀G2,L2,T2. ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫ → Q G2 L2 T2) → Q G1 L1 T1 ) → - ∀G,L,T,A. ⦃G,L⦄ ⊢ T ⁝ A → Q G L T. + ∀G,L,T,A. ❪G,L❫ ⊢ T ⁝ A → Q G L T. /4 width=4 by aaa_ind_fpbg_aux, aaa_csx/ qed-.