Nuprl Lemma : squash_wf
∀[A:ℙ]. (↓A ∈ ℙ)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
prop: ℙ,
squash: ↓T,
member: t ∈ T
Definitions unfolded in proof :
squash: ↓T,
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ
Lemmas referenced :
image-type_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
baseClosed,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality
Latex:
\mforall{}[A:\mBbbP{}]. (\mdownarrow{}A \mmember{} \mBbbP{})
Date html generated:
2016_05_13-PM-03_07_56
Last ObjectModification:
2016_01_06-PM-05_27_55
Theory : core_2
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