Nuprl Lemma : separation-space_wf
SeparationSpace ∈ 𝕌'
Proof
Definitions occuring in Statement :
separation-space: SeparationSpace,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
separation-space: SeparationSpace,
member: t ∈ T,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
record+: record+,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
guard: {T},
prop: ℙ,
implies: P ⇒ Q,
all: ∀x:A. B[x],
or: P ∨ Q
Lemmas referenced :
record_wf,
top_wf,
record+_wf,
subtype_rel_self,
all_wf,
not_wf,
or_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
sqequalRule,
lambdaEquality,
cumulativity,
hypothesis,
atomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality,
tokenEquality,
dependentIntersectionElimination,
applyEquality,
instantiate,
setEquality,
functionEquality,
hypothesisEquality,
because_Cache,
functionExtensionality,
dependentIntersectionEqElimination,
setElimination,
rename
Latex:
SeparationSpace \mmember{} \mBbbU{}'
Date html generated:
2017_10_02-PM-03_24_03
Last ObjectModification:
2017_07_28-AM-06_57_08
Theory : constructive!algebra
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