include "lambda/paths/labeled_sequential_computation.ma".
include "lambda/paths/labeled_st_reduction.ma".
+include "lambda/notation/relations/stdstar_3.ma".
+
+include "lambda/xoa/ex_2_3.ma".
+
(* PATH-LABELED STANDARD COMPUTATION (MULTISTEP) ****************************)
(* Note: lstar shuld be replaced by l_sreds *)
interpretation "path-labeled standard reduction"
'StdStar F p G = (pl_sts p F G).
-notation "hvbox( F break Ⓡ ↦* [ term 46 p ] break term 46 G )"
- non associative with precedence 45
- for @{ 'StdStar $F $p $G }.
-
lemma pl_sts_fwd_pl_sreds: ∀s,F1,F2. F1 Ⓡ↦*[s] F2 → ⇓F1 ↦*[s] ⇓F2.
#s #F1 #F2 #H @(lstar_ind_r … s F2 H) -s -F2 //
#p #s #F #F2 #_ #HF2 #IHF1