X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Freducibility%2Ftwhnf.ma;h=1ee06ad029e943e8227939dd1258b7554268d09b;hb=13a37618a5cebc5e0088a7da213f1de033d281db;hp=ccfaa6aa69c8b0e106ea2b7ed1501023899850d3;hpb=fc7af5f9ea2cd4a876b8babc6b691136799e3c87;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/twhnf.ma b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/twhnf.ma index ccfaa6aa6..1ee06ad02 100644 --- a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/twhnf.ma +++ b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/twhnf.ma @@ -26,22 +26,22 @@ interpretation (* Basic inversion lemmas ***************************************************) lemma twhnf_inv_thom: ∀T. 𝕎ℍℕ[T] → T ≈ T. -normalize /2 depth=1/ +normalize /2 width=1/ qed-. (* Basic properties *********************************************************) -lemma tpr_thom: ∀T1,T2. T1 ⇒ T2 → T1 ≈ T1 → T1 ≈ T2. -#T1 #T2 #H elim H -T1 T2 // +lemma tpr_thom: ∀T1,T2. T1 ➡ T2 → T1 ≈ T1 → T1 ≈ T2. +#T1 #T2 #H elim H -T1 -T2 // [ #I #V1 #V2 #T1 #T2 #_ #_ #_ #IHT12 #H - elim (thom_inv_flat1 … H) -H #W2 #U2 #HT1U2 #HT1 #_ #H1 #H2 destruct -I T1 V1; - lapply (IHT12 HT1U2) -IHT12 HT1U2 #HUT2 + elim (thom_inv_flat1 … H) -H #W2 #U2 #HT1U2 #HT1 #_ #H1 #H2 destruct + lapply (IHT12 HT1U2) -IHT12 -HT1U2 #HUT2 lapply (simple_thom_repl_dx … HUT2 HT1) /2 width=1/ | #V1 #V2 #W #T1 #T2 #_ #_ #_ #_ #H elim (thom_inv_flat1 … H) -H #W2 #U2 #_ #H elim (simple_inv_bind … H) | #I #V1 #V2 #T1 #T #T2 #_ #_ #_ #_ #_ #H - elim (thom_inv_bind1 … H) -H #W2 #U2 #H destruct -I // + elim (thom_inv_bind1 … H) -H #W2 #U2 #H destruct // | #V2 #V1 #V #W1 #W2 #T1 #T2 #_ #_ #_ #_ #_ #_ #_ #H elim (thom_inv_flat1 … H) -H #U1 #U2 #_ #H elim (simple_inv_bind … H) @@ -53,4 +53,4 @@ lemma tpr_thom: ∀T1,T2. T1 ⇒ T2 → T1 ≈ T1 → T1 ≈ T2. qed. lemma twhnf_thom: ∀T. T ≈ T → 𝕎ℍℕ[T]. -/2/ qed. +/2 width=1/ qed.