Nuprl Lemma : csm_wf
∀[V:Type]. (CSM(V) ∈ 𝕌')
Proof
Definitions occuring in Statement :
csm: CSM(V),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
csm: CSM(V),
uall: ∀[x:A]. B[x],
member: t ∈ T,
prop: ℙ
Lemmas referenced :
bool_wf,
assert_wf,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
productEquality,
universeEquality,
functionEquality,
cumulativity,
hypothesisEquality,
lemma_by_obid,
hypothesis,
applyEquality,
thin,
unionEquality,
setEquality,
sqequalHypSubstitution,
isectElimination,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[V:Type]. (CSM(V) \mmember{} \mBbbU{}')
Date html generated:
2016_05_15-PM-05_09_34
Last ObjectModification:
2015_12_27-PM-02_24_08
Theory : general
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