Nuprl Lemma : rec-combined-loc-class-1-classrel
∀[B,F,X,es,e,v:Top]. (v ∈ rec-combined-loc-class-1(F;X)(e) ~ v ∈ F o (Loc,X, Prior(rec-combined-loc-class-1(F;X)))(e))
Proof
Definitions occuring in Statement :
simple-loc-comb-2: F o (Loc,X, Y),
rec-combined-loc-class-1: rec-combined-loc-class-1(F;X),
primed-class: Prior(X),
classrel: v ∈ X(e),
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
rec-combined-loc-class-1: rec-combined-loc-class-1(F;X),
simple-loc-comb-2: F o (Loc,X, Y),
classrel: v ∈ X(e),
simple-loc-comb: F|Loc; Xs|,
select: L[n],
cons: [a / b],
subtract: n - m,
rec-combined-loc-class: f|Loc, X, Prior(self)|,
member: t ∈ T,
uall: ∀[x:A]. B[x]
Latex:
\mforall{}[B,F,X,es,e,v:Top].
(v \mmember{} rec-combined-loc-class-1(F;X)(e) \msim{} v \mmember{} F o (Loc,X, Prior(rec-combined-loc-class-1(F;X)))(e))
Date html generated:
2016_05_17-AM-09_27_27
Last ObjectModification:
2015_12_29-PM-04_03_13
Theory : classrel!lemmas
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