X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Fdrops_weight.ma;h=3b75c89f62bd7aef2dff7a58b58fd71639bdb428;hp=59f2a9e3016362b43a08888146796ba7f50f4cb7;hb=222044da28742b24584549ba86b1805a87def070;hpb=98fbba1b68d457807c73ebf70eb2a48696381da4

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_weight.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_weight.ma
index 59f2a9e30..3b75c89f6 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_weight.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_weight.ma
@@ -21,7 +21,7 @@ include "basic_2/relocation/drops.ma".
 (* Forward lemmas with weight for local environments ************************)
 
 (* Basic_2A1: includes: drop_fwd_lw *)
-lemma drops_fwd_lw: ∀b,f,L1,L2. ⬇*[b, f] L1 ≡ L2 → ♯{L2} ≤ ♯{L1}.
+lemma drops_fwd_lw: ∀b,f,L1,L2. ⬇*[b, f] L1 ≘ L2 → ♯{L2} ≤ ♯{L1}.
 #b #f #L1 #L2 #H elim H -f -L1 -L2 //
 [ /2 width=3 by transitive_le/
 | #f #I1 #I2 #L1 #L2 #_ #HI21 #IHL12 normalize
@@ -30,7 +30,7 @@ lemma drops_fwd_lw: ∀b,f,L1,L2. ⬇*[b, f] L1 ≡ L2 → ♯{L2} ≤ ♯{L1}.
 qed-.
 
 (* Basic_2A1: includes: drop_fwd_lw_lt *)
-lemma drops_fwd_lw_lt: ∀f,L1,L2. ⬇*[Ⓣ, f] L1 ≡ L2 →
+lemma drops_fwd_lw_lt: ∀f,L1,L2. ⬇*[Ⓣ, f] L1 ≘ L2 →
                        (𝐈⦃f⦄ → ⊥) → ♯{L2} < ♯{L1}.
 #f #L1 #L2 #H elim H -f -L1 -L2
 [ #f #Hf #Hnf elim Hnf -Hnf /2 width=1 by/
@@ -43,14 +43,14 @@ qed-.
 (* Forward lemmas with restricted weight for closures ***********************)
 
 (* Basic_2A1: includes: drop_fwd_rfw *)
-lemma drops_bind2_fwd_rfw: ∀b,f,I,L,K,V. ⬇*[b, f] L ≡ K.ⓑ{I}V → ∀T. ♯{K, V} < ♯{L, T}.
+lemma drops_bind2_fwd_rfw: ∀b,f,I,L,K,V. ⬇*[b, f] L ≘ K.ⓑ{I}V → ∀T. ♯{K, V} < ♯{L, T}.
 #b #f #I #L #K #V #HLK lapply (drops_fwd_lw … HLK) -HLK
 normalize in ⊢ (%→?→?%%); /3 width=3 by le_to_lt_to_lt, monotonic_lt_plus_r/
 qed-.
 
 (* Advanced inversion lemma *************************************************)
 
-lemma drops_inv_x_bind_xy: ∀b,f,I,L. ⬇*[b, f] L ≡ L.ⓘ{I} → ⊥.
+lemma drops_inv_x_bind_xy: ∀b,f,I,L. ⬇*[b, f] L ≘ L.ⓘ{I} → ⊥.
 #b #f #I #L #H lapply (drops_fwd_lw … H) -b -f
 /2 width=4 by lt_le_false/ (**) (* full auto is a bit slow: 19s *)
 qed-.