Nuprl Lemma : Accum-classrel-Memory-sq
∀[B,f,init,X,es,e,v:Top]. (v ∈ Accum-class(f;init;X)(e) ~ v ↓∈ lifting-2(f) (X es e) (Memory-class(f;init;X) es e))
Proof
Definitions occuring in Statement :
Memory-class: Memory-class(f;init;X),
Accum-class: Accum-class(f;init;X),
classrel: v ∈ X(e),
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
sqequal: s ~ t,
lifting-2: lifting-2(f),
bag-member: x ↓∈ bs
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
Memory-class: Memory-class(f;init;X),
Accum-class: Accum-class(f;init;X),
classrel: v ∈ X(e),
rec-combined-class-opt-1: F|X,Prior(self)?init|,
rec-comb: rec-comb(X;f;init),
select: L[n],
cons: [a / b]
Latex:
\mforall{}[B,f,init,X,es,e,v:Top].
(v \mmember{} Accum-class(f;init;X)(e) \msim{} v \mdownarrow{}\mmember{} lifting-2(f) (X es e) (Memory-class(f;init;X) es e))
Date html generated:
2016_05_17-AM-09_21_47
Last ObjectModification:
2015_12_29-PM-04_06_14
Theory : classrel!lemmas
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