Nuprl Lemma : classical_wf
∀[P:ℙ]. ({P} ∈ ℙ)
Proof
Definitions occuring in Statement :
classical: {P},
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
classical: {P},
so_lambda: λ2x.t[x],
prop: ℙ,
so_apply: x[s]
Lemmas referenced :
unit_wf,
set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
lambdaEquality,
hypothesisEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[P:\mBbbP{}]. (\{P\} \mmember{} \mBbbP{})
Date html generated:
2016_05_13-PM-03_16_28
Last ObjectModification:
2016_01_06-PM-05_20_49
Theory : core_2
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