(* 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\9d¨G,Lâ\9d© â\8a¢ V1 â\9e¡[h,0] V2 & â\9d¨G,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/