Nuprl Lemma : decidable_wf
∀[A:ℙ]. (Dec(A) ∈ ℙ)
Proof
Definitions occuring in Statement :
decidable: Dec(P),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
decidable: Dec(P),
prop: ℙ
Lemmas referenced :
or_wf,
not_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :universeIsType,
universeEquality
Latex:
\mforall{}[A:\mBbbP{}]. (Dec(A) \mmember{} \mBbbP{})
Date html generated:
2019_06_20-AM-11_14_52
Last ObjectModification:
2018_09_26-AM-10_42_04
Theory : core_2
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