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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "basic_2/static/lsuba.ma".
16 include "basic_2/computation/acp_aaa.ma".
18 (* LOCAL ENVIRONMENT REFINEMENT FOR ABSTRACT CANDIDATES OF REDUCIBILITY *****)
20 (* properties concerning lenv refinement for atomic arity assignment ********)
22 lemma lsuba_lsubc: ∀RR,RS,RP. acp RR RS RP → acr RR RS RP (λG,L,T. RP G L T) →
23 ∀G,L1,L2. G ⊢ L1 ⁝⫃ L2 → G ⊢ L1 ⫃[RP] L2.
24 #RR #RS #RP #H1RP #H2RP #G #L1 #L2 #H elim H -L1 -L2 // /2 width=1/
25 #L1 #L2 #W #V #A #H elim (aaa_inv_cast … H) -H /3 width=4/