Nuprl Lemma : atom2-valueall-type
valueall-type(Atom2)
Proof
Definitions occuring in Statement :
valueall-type: valueall-type(T),
atom: Atom$n
Definitions unfolded in proof :
valueall-type: valueall-type(T),
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
member: t ∈ T,
sq_stable: SqStable(P),
implies: P ⇒ Q,
all: ∀x:A. B[x],
has-value: (a)↓,
squash: ↓T
Lemmas referenced :
sq_stable__has-value,
evalall-atom2,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
sqequalRule,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
hypothesis,
independent_functionElimination,
equalityTransitivity,
equalitySymmetry,
Error :inhabitedIsType,
Error :lambdaFormation_alt,
callbyvalueAtom2,
because_Cache,
Error :equalityIsType1,
dependent_functionElimination,
imageMemberEquality,
imageElimination,
Error :equalityIsType4,
Error :universeIsType,
atomnEquality
Latex:
valueall-type(Atom2)
Date html generated:
2019_06_20-AM-11_21_21
Last ObjectModification:
2018_10_15-PM-03_50_00
Theory : call!by!value_1
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