Nuprl Lemma : realspace_wf
realspace() ∈ Space
Proof
Definitions occuring in Statement :
realspace: realspace(),
topspace: Space,
member: t ∈ T
Definitions unfolded in proof :
prop: ℙ,
so_apply: x[s1;s2],
so_lambda: λ2x y.t[x; y],
all: ∀x:A. B[x],
req: x = y,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
member: t ∈ T,
realspace: realspace()
Lemmas referenced :
equiv_rel_wf,
subtype_rel_self,
req-equiv,
req_wf,
real_wf,
mktopspace_wf
Rules used in proof :
because_Cache,
applyEquality,
instantiate,
hypothesisEquality,
lambdaEquality,
hypothesis,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
introduction,
cut,
computationStep,
sqequalTransitivity,
sqequalReflexivity,
sqequalRule,
sqequalSubstitution
Latex:
realspace() \mmember{} Space
Date html generated:
2018_07_29-AM-09_49_12
Last ObjectModification:
2018_06_21-AM-10_47_36
Theory : inner!product!spaces
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