Nuprl Lemma : evalall-pair
∀[x,y:Top]. (evalall(<x, y>) ~ eval x' = evalall(x) in eval y' = evalall(y) in <x', y'>)
Proof
Definitions occuring in Statement :
evalall: evalall(t),
callbyvalue: callbyvalue,
uall: ∀[x:A]. B[x],
top: Top,
pair: <a, b>,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
evalall: evalall(t)
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
hypothesis,
sqequalAxiom,
lemma_by_obid,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[x,y:Top]. (evalall(<x, y>) \msim{} eval x' = evalall(x) in eval y' = evalall(y) in <x', y'>)
Date html generated:
2016_05_13-PM-03_21_44
Last ObjectModification:
2015_12_26-AM-09_32_02
Theory : call!by!value_1
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