X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fgrammar%2Ftshf.ma;h=34561ebf6a5ccce0ca6c09eac3b49c62b75bf9a3;hb=5ac2dc4e01aca542ddd13c02b304c646d8df9799;hp=bb32a536590f8e3b1d27fea0738c356fa7f7196a;hpb=a386e0eb6b20909ae78c825203d77647b8fde30c;p=helm.git

diff --git a/matita/matita/contribs/lambda_delta/basic_2/grammar/tshf.ma b/matita/matita/contribs/lambda_delta/basic_2/grammar/tshf.ma
index bb32a5365..34561ebf6 100644
--- a/matita/matita/contribs/lambda_delta/basic_2/grammar/tshf.ma
+++ b/matita/matita/contribs/lambda_delta/basic_2/grammar/tshf.ma
@@ -19,7 +19,7 @@ include "basic_2/grammar/term_simple.ma".
 inductive tshf: relation term ≝
    | tshf_atom: ∀I. tshf (⓪{I}) (⓪{I})
    | tshf_abst: ∀V1,V2,T1,T2. tshf (ⓛV1. T1) (ⓛV2. T2)
-   | tshf_appl: ∀V1,V2,T1,T2. tshf T1 T2 → 𝐒[T1] → 𝐒[T2] →
+   | tshf_appl: ∀V1,V2,T1,T2. tshf T1 T2 → 𝐒⦃T1⦄ → 𝐒⦃T2⦄ →
                 tshf (ⓐV1. T1) (ⓐV2. T2)
 .
 
@@ -38,13 +38,13 @@ qed.
 lemma tshf_refl1: ∀T1,T2. T1 ≈ T2 → T1 ≈ T1.
 /3 width=2/ qed.
 
-lemma simple_tshf_repl_dx: ∀T1,T2. T1 ≈ T2 → 𝐒[T1] → 𝐒[T2].
+lemma simple_tshf_repl_dx: ∀T1,T2. T1 ≈ T2 → 𝐒⦃T1⦄ → 𝐒⦃T2⦄.
 #T1 #T2 #H elim H -T1 -T2 //
 #V1 #V2 #T1 #T2 #H
 elim (simple_inv_bind … H)
 qed. (**) (* remove from index *)
 
-lemma simple_tshf_repl_sn: ∀T1,T2. T1 ≈ T2 → 𝐒[T2] → 𝐒[T1].
+lemma simple_tshf_repl_sn: ∀T1,T2. T1 ≈ T2 → 𝐒⦃T2⦄ → 𝐒⦃T1⦄.
 /3 width=3/ qed-.
 
 (* Basic inversion lemmas ***************************************************)
@@ -63,7 +63,7 @@ lemma tshf_inv_bind1: ∀I,W1,U1,T2. ⓑ{I}W1.U1 ≈ T2 →
 /2 width=5/ qed-.
 
 fact tshf_inv_flat1_aux: ∀T1,T2. T1 ≈ T2 → ∀I,W1,U1. T1 = ⓕ{I}W1.U1 →
-                         ∃∃W2,U2. U1 ≈ U2 & 𝐒[U1] & 𝐒[U2] &
+                         ∃∃W2,U2. U1 ≈ U2 & 𝐒⦃U1⦄ & 𝐒⦃U2⦄ &
                                   I = Appl & T2 = ⓐW2. U2.
 #T1 #T2 * -T1 -T2
 [ #J #I #W1 #U1 #H destruct
@@ -73,6 +73,6 @@ fact tshf_inv_flat1_aux: ∀T1,T2. T1 ≈ T2 → ∀I,W1,U1. T1 = ⓕ{I}W1.U1 
 qed.
 
 lemma tshf_inv_flat1: ∀I,W1,U1,T2. ⓕ{I}W1.U1 ≈ T2 →
-                      ∃∃W2,U2. U1 ≈ U2 & 𝐒[U1] & 𝐒[U2] &
+                      ∃∃W2,U2. U1 ≈ U2 & 𝐒⦃U1⦄ & 𝐒⦃U2⦄ &
                                I = Appl & T2 = ⓐW2. U2.
 /2 width=4/ qed-.