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15 include "static_2/syntax/tueq_tueq.ma".
16 include "basic_2/rt_transition/cpm_tueq.ma".
17 include "basic_2/rt_transition/cnu.ma".
19 (* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
21 (* Advanced properties ******************************************************)
23 lemma cnu_tueq_trans (h) (G) (L):
24 ∀T1. ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T1⦄ → ∀T2.T1 ≅ T2 → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T2⦄.
25 #h #G #L #T1 #HT1 #T2 #HT12 #n #T0 #HT20
26 @(tueq_canc_sn … HT12)
27 elim (tueq_cpm_trans … HT12 … HT20) -T2 #T2 #HT13 #HT30
28 /3 width=3 by tueq_trans/