update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / relocation / drops_seq.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_seq.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_seq.ma
index af2c4ef8821fe163f8e82c803bb793d31c2e1e63..8047fdd68a941b5ed2fde99f0c2ed24f8fc0603b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_seq.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_seq.ma
@@ -30,9 +30,9 @@ lemma seq_co_dropable_dx: co_dropable_dx seq.
 
 (* Basic_2A1: includes: lreq_drop_trans_be *)
 lemma seq_drops_trans_next: ∀f2,L1,L2. L1 ≡[f2] L2 →
-                            ∀b,f,I,K2. ⇩*[b,f] L2 ≘ K2.ⓘ{I} → 𝐔⦃f⦄ →
+                            ∀b,f,I,K2. ⇩*[b,f] L2 ≘ K2.ⓘ[I] → 𝐔❪f❫ →
                             ∀f1. f ~⊚ ↑f1 ≘ f2 →
-                            ∃∃K1. ⇩*[b,f] L1 ≘ K1.ⓘ{I} & K1 ≡[f1] K2.
+                            ∃∃K1. ⇩*[b,f] L1 ≘ K1.ⓘ[I] & K1 ≡[f1] K2.
 #f2 #L1 #L2 #HL12 #b #f #I2 #K2 #HLK2 #Hf #f1 #Hf2
 elim (sex_drops_trans_next … HL12 … HLK2 Hf … Hf2) -f2 -L2 -Hf
 #I1 #K1 #HLK1 #HK12 #H <(ceq_ext_inv_eq … H) -I2
@@ -41,18 +41,18 @@ qed-.
 
 (* Basic_2A1: includes: lreq_drop_conf_be *)
 lemma seq_drops_conf_next: ∀f2,L1,L2. L1 ≡[f2] L2 →
-                           ∀b,f,I,K1. ⇩*[b,f] L1 ≘ K1.ⓘ{I} → 𝐔⦃f⦄ →
+                           ∀b,f,I,K1. ⇩*[b,f] L1 ≘ K1.ⓘ[I] → 𝐔❪f❫ →
                            ∀f1. f ~⊚ ↑f1 ≘ f2 →
-                           ∃∃K2. ⇩*[b,f] L2 ≘ K2.ⓘ{I} & K1 ≡[f1] K2.
+                           ∃∃K2. ⇩*[b,f] L2 ≘ K2.ⓘ[I] & K1 ≡[f1] K2.
 #f2 #L1 #L2 #HL12 #b #f #I1 #K1 #HLK1 #Hf #f1 #Hf2
 elim (seq_drops_trans_next … (seq_sym … HL12) … HLK1 … Hf2) // -f2 -L1 -Hf
 /3 width=3 by seq_sym, ex2_intro/
 qed-.
 
 lemma drops_seq_trans_next: ∀f1,K1,K2. K1 ≡[f1] K2 →
-                            ∀b,f,I,L1. ⇩*[b,f] L1.ⓘ{I} ≘ K1 →
+                            ∀b,f,I,L1. ⇩*[b,f] L1.ⓘ[I] ≘ K1 →
                             ∀f2. f ~⊚ f1 ≘ ↑f2 →
-                            ∃∃L2. ⇩*[b,f] L2.ⓘ{I} ≘ K2 & L1 ≡[f2] L2 & L1.ⓘ{I} ≡[f] L2.ⓘ{I}.
+                            ∃∃L2. ⇩*[b,f] L2.ⓘ[I] ≘ K2 & L1 ≡[f2] L2 & L1.ⓘ[I] ≡[f] L2.ⓘ[I].
 #f1 #K1 #K2 #HK12 #b #f #I1 #L1 #HLK1 #f2 #Hf2
 elim (drops_sex_trans_next … HK12 … HLK1 … Hf2) -f1 -K1
 /2 width=6 by cfull_lift_sn, ceq_lift_sn/