Nuprl Lemma : VesleyAxiom_wf
VesleyAxiom ∈ ℙ'
Proof
Definitions occuring in Statement :
VesleyAxiom: VesleyAxiom,
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
VesleyAxiom: VesleyAxiom,
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
prop: ℙ,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
all: ∀x:A. B[x],
so_apply: x[s]
Lemmas referenced :
all_wf,
real_wf,
dense-in-interval_wf,
riiint_wf,
i-member_wf,
not_wf,
req_wf,
bool_wf,
exists_wf,
equal_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
instantiate,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
functionEquality,
hypothesis,
applyEquality,
lambdaEquality,
cumulativity,
hypothesisEquality,
universeEquality,
lambdaFormation,
setElimination,
rename,
functionExtensionality,
setEquality,
because_Cache,
dependent_set_memberEquality
Latex:
VesleyAxiom \mmember{} \mBbbP{}'
Date html generated:
2017_10_03-AM-10_15_16
Last ObjectModification:
2017_09_13-PM-03_55_22
Theory : reals
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