Nuprl Lemma : not_wf
∀[A:ℙ]. (¬A ∈ ℙ)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
prop: ℙ,
not: ¬A,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
not: ¬A,
implies: P ⇒ Q,
prop: ℙ
Lemmas referenced :
false_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
functionEquality,
hypothesisEquality,
extract_by_obid,
hypothesis,
sqequalHypSubstitution,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :universeIsType,
universeEquality
Latex:
\mforall{}[A:\mBbbP{}]. (\mneg{}A \mmember{} \mBbbP{})
Date html generated:
2019_06_20-AM-11_14_27
Last ObjectModification:
2018_09_26-AM-10_41_57
Theory : core_2
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