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15 include "basic_2/rt_transition/cpm_simple.ma".
16 include "basic_2/rt_transition/cnr.ma".
17 include "basic_2/rt_transition/cnu.ma".
19 (* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
21 (* Advanced properties with simple terms and normal terms for r-transition **)
23 lemma cnu_appl_simple (h) (G) (L):
24 ∀V,T. ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃V⦄ → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T⦄ → 𝐒⦃T⦄ → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃ⓐV.T⦄.
25 #h #G #L #V1 #T1 #HV1 #HT1 #HS #n #X #H
26 elim (cpm_inv_appl1_simple … H HS) -H -HS #V2 #T2 #HV12 #HT12 #H destruct
27 lapply (HV1 … HV12) -HV1 -HV12 #H destruct
28 /3 width=2 by tueq_appl/