X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Freducibility%2Ftwhnf.ma;h=fe6b66447ae96eac4bf52faa30219a704d5902b3;hb=de392360825733c1c865d748f7711f34bfc027f3;hp=dea7077b494eafd17e09fc2798bd20e964b3e066;hpb=9581b03be2b2bc830820b93992920aaa2c021cc9;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 dea7077b4..fe6b66447 100644
--- a/matita/matita/contribs/lambda_delta/Basic_2/reducibility/twhnf.ma
+++ b/matita/matita/contribs/lambda_delta/Basic_2/reducibility/twhnf.ma
@@ -17,8 +17,7 @@ include "Basic_2/reducibility/tpr.ma".
 
 (* CONTEXT-FREE WEAK HEAD NORMAL TERMS **************************************)
 
-definition twhnf: term → Prop ≝
-   NF … tpr thom.
+definition twhnf: predicate term ≝ NF … tpr thom.
 
 interpretation
    "context-free weak head normality (term)"
@@ -27,22 +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 //
+#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)
@@ -54,4 +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.