Nuprl Lemma : rev_implies_wf
∀[A,B:ℙ]. (A ⇐ B ∈ ℙ)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
prop: ℙ,
rev_implies: P ⇐ Q,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
prop: ℙ
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
functionEquality,
hypothesisEquality,
sqequalHypSubstitution,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :inhabitedIsType,
isect_memberEquality,
isectElimination,
thin,
universeEquality,
Error :universeIsType
Latex:
\mforall{}[A,B:\mBbbP{}]. (A \mLeftarrow{}{} B \mmember{} \mBbbP{})
Date html generated:
2019_06_20-AM-11_14_30
Last ObjectModification:
2018_09_26-AM-10_41_56
Theory : core_2
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