(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
-(* Properties with head evaluation for t-bound rt-transition on terms *******)
+(* Properties with t-unbound whd evaluation on terms ************************)
lemma cnv_cpmuwe_trans (a) (h) (G) (L):
∀T1. ⦃G,L⦄ ⊢ T1 ![a,h] →
∀T1. ⦃G,L⦄ ⊢ T1 ![a,h] → ∃n. R_cpmuwe h G L T1 n.
/4 width=2 by cnv_fwd_fsb, fsb_inv_csx, R_cpmuwe_total_csx/ qed-.
-axiom cnv_R_cpmuwe_dec (a) (h) (G) (L):
- ∀T. ⦃G,L⦄ ⊢ T ![a,h] → ∀n. Decidable (R_cpmuwe h G L T n).
-
(* Main inversions with head evaluation for t-bound rt-transition on terms **)
theorem cnv_cpmuwe_mono (a) (h) (G) (L):