X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_2%2Fynat%2Fynat_le.ma;h=1a986f03c5be41ad50415cc25d9de008f80488af;hb=5102e7f780e83c7fef1d3826f81dfd37ee4028bc;hp=613a9793cb6a547b9e53ca49ce0307abaead7230;hpb=174ee1889b5c91ef5339c718d7657ed0e5da21e8;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/ground_2/ynat/ynat_le.ma b/matita/matita/contribs/lambdadelta/ground_2/ynat/ynat_le.ma index 613a9793c..1a986f03c 100644 --- a/matita/matita/contribs/lambdadelta/ground_2/ynat/ynat_le.ma +++ b/matita/matita/contribs/lambdadelta/ground_2/ynat/ynat_le.ma @@ -83,7 +83,7 @@ qed-. (* Inversion lemmas on successor ********************************************) -fact yle_inv_succ1_aux: ∀x,y. x ≤ y → ∀m. x = ⫯m → m ≤ ⫰y ∧ ⫯⫰y = y. +fact yle_inv_succ1_aux: ∀x,y:ynat. x ≤ y → ∀m. x = ⫯m → m ≤ ⫰y ∧ ⫯⫰y = y. #x #y * -x -y [ #x #y #Hxy #m #H elim (ysucc_inv_inj_sn … H) -H #n #H1 #H2 destruct elim (le_inv_S1 … Hxy) -Hxy @@ -92,7 +92,7 @@ fact yle_inv_succ1_aux: ∀x,y. x ≤ y → ∀m. x = ⫯m → m ≤ ⫰y ∧ ] qed-. -lemma yle_inv_succ1: ∀m,y. ⫯m ≤ y → m ≤ ⫰y ∧ ⫯⫰y = y. +lemma yle_inv_succ1: ∀m,y:ynat. ⫯m ≤ y → m ≤ ⫰y ∧ ⫯⫰y = y. /2 width=3 by yle_inv_succ1_aux/ qed-. lemma yle_inv_succ: ∀m,n. ⫯m ≤ ⫯n → m ≤ n.