Nuprl Lemma : test_stuck_apply
∀[x,y,z:Top]. (<x, y> z ~ ⊥)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
pair: <a, b>,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
top: Top
Lemmas referenced :
bottom-sqle,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalSqle,
applyPair,
cut,
lemma_by_obid,
sqequalHypSubstitution,
sqequalTransitivity,
computationStep,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
isect_memberFormation,
introduction,
sqequalAxiom,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[x,y,z:Top]. (<x, y> z \msim{} \mbot{})
Date html generated:
2016_05_13-PM-03_23_31
Last ObjectModification:
2015_12_26-AM-09_30_18
Theory : call!by!value_1
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