Nuprl Lemma : sqequal-wf-base
∀[x,y:Base]. (x ~ y ∈ ℙ)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
base: Base,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ
Lemmas referenced :
base_sq,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalIntensionalEquality,
lemma_by_obid,
sqequalHypSubstitution,
hypothesis,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[x,y:Base]. (x \msim{} y \mmember{} \mBbbP{})
Date html generated:
2016_05_13-PM-03_19_50
Last ObjectModification:
2015_12_26-AM-09_09_22
Theory : sqequal_1
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