Nuprl Lemma : topfun_wf
∀[X,Y:Space]. (topfun(X;Y) ∈ Type)
Proof
Definitions occuring in Statement :
topfun: topfun(X;Y),
topspace: Space,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
all: ∀x:A. B[x],
so_apply: x[s],
prop: ℙ,
implies: P ⇒ Q,
so_lambda: λ2x.t[x],
topfun: topfun(X;Y),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
topspace_wf,
topeq_wf,
all_wf,
toptype_wf
Rules used in proof :
because_Cache,
isect_memberEquality,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
applyEquality,
lambdaEquality,
hypothesis,
hypothesisEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
functionEquality,
setEquality,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[X,Y:Space]. (topfun(X;Y) \mmember{} Type)
Date html generated:
2018_07_29-AM-09_48_14
Last ObjectModification:
2018_06_21-AM-10_41_49
Theory : inner!product!spaces
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