X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Fcnr_cir.ma;h=480e359cb39fface464cecf107c480192f0fb437;hb=e258362c37ec6d9132ec57bd5e4987d148c10799;hp=50f30ab606fff7b7cd6fc1681181d2708b6ee2f5;hpb=ef49e0e7f5f298c299afdd3cbfdc2404ecb93879;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnr_cir.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnr_cir.ma index 50f30ab60..480e359cb 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnr_cir.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnr_cir.ma @@ -15,14 +15,14 @@ include "basic_2/reduction/cpr_cir.ma". include "basic_2/reduction/cnr_crr.ma". -(* CONTEXT-SENSITIVE NORMAL TERMS *******************************************) +(* NORMAL TERMS FOR CONTEXT-SENSITIVE REDUCTION *****************************) -(* Main properties on context-sensitive irreducible terms *******************) +(* Main properties on irreducibility ****************************************) -theorem cir_cnr: ∀L,T. L ⊢ 𝐈⦃T⦄ → L ⊢ 𝐍⦃T⦄. -/2 width=3 by cpr_fwd_cir/ qed. +theorem cir_cnr: ∀G,L,T. ⦃G, L⦄ ⊢ ➡ 𝐈⦃T⦄ → ⦃G, L⦄ ⊢ ➡ 𝐍⦃T⦄. +/2 width=4 by cpr_fwd_cir/ qed. -(* Main inversion lemmas on context-sensitive irreducible terms *************) +(* Main inversion lemmas on irreducibility **********************************) -theorem cnr_inv_cir: ∀L,T. L ⊢ 𝐍⦃T⦄ → L ⊢ 𝐈⦃T⦄. -/2 width=4 by cnr_inv_crr/ qed-. +theorem cnr_inv_cir: ∀G,L,T. ⦃G, L⦄ ⊢ ➡ 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ➡ 𝐈⦃T⦄. +/2 width=5 by cnr_inv_crr/ qed-.