(* Properties with simple terms *********************************************)
(* Basic_2A1: includes: cpr_inv_appl1_simple *)
-lemma cpm_inv_appl1_simple: ∀n,h,G,L,V1,T1,U. ⦃G,L⦄ ⊢ ⓐV1.T1 ➡[n,h] U → 𝐒⦃T1⦄ →
- â\88\83â\88\83V2,T2. â¦\83G,Lâ¦\84 â\8a¢ V1 â\9e¡[h] V2 & â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡[n,h] T2 &
+lemma cpm_inv_appl1_simple: ∀h,n,G,L,V1,T1,U. ❪G,L❫ ⊢ ⓐV1.T1 ➡[h,n] U → 𝐒❪T1❫ →
+ â\88\83â\88\83V2,T2. â\9dªG,Lâ\9d« â\8a¢ V1 â\9e¡[h,0] V2 & â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡[h,n] T2 &
U = ⓐV2.T2.
-#n #h #G #L #V1 #T1 #U * #c #Hc #H #HT1 elim (cpg_inv_appl1_simple … H HT1) -H -HT1
+#h #n #G #L #V1 #T1 #U * #c #Hc #H #HT1 elim (cpg_inv_appl1_simple … H HT1) -H -HT1
#cV #cT #V2 #T2 #HV12 #HT12 #H1 #H2 destruct elim (isrt_inv_max … Hc) -Hc
#nV #nT #HnV #HnT #H destruct elim (isrt_inv_shift … HnV) -HnV
#HnV #H destruct /3 width=5 by ex3_2_intro, ex2_intro/