Nuprl Lemma : wkl!_wf
WKL! ∈ ℙ'
Proof
Definitions occuring in Statement :
wkl!: WKL!,
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
wkl!: WKL!,
member: t ∈ T,
uall: ∀[x:A]. B[x],
prop: ℙ,
all: ∀x:A. B[x],
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
so_apply: x[s]
Lemmas referenced :
all_wf,
list_wf,
bool_wf,
infinite-tree_wf,
decidable_wf,
eff-unique_wf,
sq_exists_wf,
nat_wf,
is-path_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
instantiate,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
setEquality,
functionEquality,
cumulativity,
hypothesis,
universeEquality,
dependent_functionElimination,
hypothesisEquality,
lambdaEquality,
applyEquality,
setElimination,
rename
Latex:
WKL! \mmember{} \mBbbP{}'
Date html generated:
2016_05_14-PM-04_12_43
Last ObjectModification:
2015_12_26-PM-07_53_59
Theory : fan-theorem
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