(* *)
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-include "basic_2/notation/relations/lrsubeq_4.ma".
+include "basic_2/notation/relations/lrsubeqc_4.ma".
include "basic_2/static/aaa.ma".
include "basic_2/computation/acp_cr.ma".
inductive lsubc (RP) (G): relation lenv ≝
| lsubc_atom: lsubc RP G (⋆) (⋆)
| lsubc_pair: ∀I,L1,L2,V. lsubc RP G L1 L2 → lsubc RP G (L1.ⓑ{I}V) (L2.ⓑ{I}V)
-| lsubc_abbr: ∀L1,L2,V,W,A. ⦃G, L1, V⦄ ϵ[RP] 〚A〛 → ⦃G, L1, W⦄ ϵ[RP] 〚A〛 → ⦃G, L2⦄ ⊢ W ⁝ A →
+| lsubc_beta: ∀L1,L2,V,W,A. ⦃G, L1, V⦄ ϵ[RP] 〚A〛 → ⦃G, L1, W⦄ ϵ[RP] 〚A〛 → ⦃G, L2⦄ ⊢ W ⁝ A →
lsubc RP G L1 L2 → lsubc RP G (L1. ⓓⓝW.V) (L2.ⓛW)
.
interpretation
"local environment refinement (abstract candidates of reducibility)"
- 'LRSubEq RP G L1 L2 = (lsubc RP G L1 L2).
+ 'LRSubEqC RP G L1 L2 = (lsubc RP G L1 L2).
(* Basic inversion lemmas ***************************************************)