Nuprl Lemma : unsquashed-WCP_wf
unsquashed-WCP ∈ ℙ
Proof
Definitions occuring in Statement :
unsquashed-WCP: unsquashed-WCP,
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
unsquashed-WCP: unsquashed-WCP,
member: t ∈ T,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
subtype_rel: A ⊆r B,
uimplies: b supposing a,
le: A ≤ B,
and: P ∧ Q,
less_than': less_than'(a;b),
false: False,
not: ¬A,
so_apply: x[s],
all: ∀x:A. B[x]
Lemmas referenced :
all_wf,
nat_wf,
exists_wf,
int_seg_wf,
equal_wf,
int_seg_subtype_nat,
false_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
functionEquality,
hypothesis,
lambdaEquality,
because_Cache,
natural_numberEquality,
applyEquality,
functionExtensionality,
hypothesisEquality,
independent_isectElimination,
independent_pairFormation,
lambdaFormation
Latex:
unsquashed-WCP \mmember{} \mBbbP{}
Date html generated:
2017_04_17-AM-09_40_51
Last ObjectModification:
2017_02_27-PM-05_35_48
Theory : fan-theorem
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