Nuprl Lemma : atom-valueall-type
valueall-type(Atom)
Proof
Definitions occuring in Statement :
valueall-type: valueall-type(T),
atom: Atom
Definitions unfolded in proof :
squash: ↓T,
prop: ℙ,
all: ∀x:A. B[x],
implies: P ⇒ Q,
sq_stable: SqStable(P),
member: t ∈ T,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
valueall-type: valueall-type(T),
has-value: (a)↓
Lemmas referenced :
base_wf,
equal-wf-base,
equal_wf,
evalall-atom,
sq_stable__has-value
Rules used in proof :
because_Cache,
imageElimination,
imageMemberEquality,
dependent_functionElimination,
lambdaFormation,
atomEquality,
equalitySymmetry,
equalityTransitivity,
independent_functionElimination,
hypothesis,
hypothesisEquality,
baseClosed,
closedConclusion,
baseApply,
sqequalRule,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
introduction,
cut,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution,
callbyvalueAtom
Latex:
valueall-type(Atom)
Date html generated:
2019_06_20-AM-11_21_13
Last ObjectModification:
2018_10_15-AM-08_52_52
Theory : call!by!value_1
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