Step
*
of Lemma
rec-combined-loc-class-1_wf
∀[Info,A,B:Type]. ∀[F:Id ─→ bag(A) ─→ bag(B) ─→ bag(B)]. ∀[X:EClass(A)]. (rec-combined-loc-class-1(F;X) ∈ EClass(B))
BY
{ (ProveWfLemma
THEN (InstLemma `rec-combined-loc-class_wf` [⌈Info⌉; ⌈1⌉; ⌈λn.A⌉]⋅ THENA Auto)
THEN BHyp (-1)
THEN Reduce 0⋅
THEN Auto')⋅ }
Latex:
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[F:Id {}\mrightarrow{} bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(B)]. \mforall{}[X:EClass(A)].
(rec-combined-loc-class-1(F;X) \mmember{} EClass(B))
By
Latex:
(ProveWfLemma
THEN (InstLemma `rec-combined-loc-class\_wf` [\mkleeneopen{}Info\mkleeneclose{}; \mkleeneopen{}1\mkleeneclose{}; \mkleeneopen{}\mlambda{}n.A\mkleeneclose{}]\mcdot{} THENA Auto)
THEN BHyp (-1)
THEN Reduce 0\mcdot{}
THEN Auto')\mcdot{}
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