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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 include "basic_2/static/lfxs_lex.ma".
16 include "basic_2/rt_transition/lfpx_fsle.ma".
17 include "basic_2/rt_transition/lpx.ma".
19 (* UNCOUNTED PARALLEL RT-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES *****)
21 (* Properties with uncounted parallel rt-transition for local environments **)
23 lemma lfpx_lpx: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
24 /2 width=1 by lfxs_lex/ qed.
26 (* Inversion lemmas with uncounted parallel rt-transition for local envs ****)
28 lemma lfpx_inv_lpx_lfeq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 →
29 ∃∃L. ⦃G, L1⦄ ⊢ ⬈[h] L & L ≡[T] L2.
30 /3 width=3 by lfpx_fsge_comp, lfxs_inv_lex_lfeq/ qed-.