X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffeqx_feqx.ma;h=62ed7e48c26b72070af0f9c1df7ef51827d6df4e;hp=52c7f3109e888ecb3ef395985be4a24fea2bcfa6;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/static_2/static/feqx_feqx.ma b/matita/matita/contribs/lambdadelta/static_2/static/feqx_feqx.ma index 52c7f3109..62ed7e48c 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/feqx_feqx.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/feqx_feqx.ma @@ -32,18 +32,18 @@ theorem feqx_trans: tri_transitive … feqx. /4 width=5 by feqx_intro_sn, reqx_trans, teqx_reqx_div, teqx_trans/ qed-. -theorem feqx_canc_sn: ∀G,G1,L,L1,T,T1. ⦃G,L,T⦄ ≛ ⦃G1,L1,T1⦄→ - ∀G2,L2,T2. ⦃G,L,T⦄ ≛ ⦃G2,L2,T2⦄ → ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T2⦄. +theorem feqx_canc_sn: ∀G,G1,L,L1,T,T1. ❪G,L,T❫ ≛ ❪G1,L1,T1❫→ + ∀G2,L2,T2. ❪G,L,T❫ ≛ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫. /3 width=5 by feqx_trans, feqx_sym/ qed-. -theorem feqx_canc_dx: ∀G1,G,L1,L,T1,T. ⦃G1,L1,T1⦄ ≛ ⦃G,L,T⦄ → - ∀G2,L2,T2. ⦃G2,L2,T2⦄ ≛ ⦃G,L,T⦄ → ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T2⦄. +theorem feqx_canc_dx: ∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≛ ❪G,L,T❫ → + ∀G2,L2,T2. ❪G2,L2,T2❫ ≛ ❪G,L,T❫ → ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫. /3 width=5 by feqx_trans, feqx_sym/ qed-. (* Main inversion lemmas with degree-based equivalence on terms *************) -theorem feqx_tneqx_repl_dx: ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T2⦄ → - ∀U1,U2. ⦃G1,L1,U1⦄ ≛ ⦃G2,L2,U2⦄ → +theorem feqx_tneqx_repl_dx: ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → + ∀U1,U2. ❪G1,L1,U1❫ ≛ ❪G2,L2,U2❫ → (T2 ≛ U2 → ⊥) → (T1 ≛ U1 → ⊥). #G1 #G2 #L1 #L2 #T1 #T2 #HT #U1 #U2 #HU #HnTU2 #HTU1 elim (feqx_inv_gen_sn … HT) -HT #_ #_ #HT