Nuprl Lemma : coSet_wf
coSet{i:l} ∈ 𝕌'
Proof
Definitions occuring in Statement :
coSet: coSet{i:l},
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
coSet: coSet{i:l},
member: t ∈ T,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
coW_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
instantiate,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
universeEquality,
lambdaEquality,
cumulativity,
hypothesisEquality,
hypothesis
Latex:
coSet\{i:l\} \mmember{} \mBbbU{}'
Date html generated:
2018_07_29-AM-09_49_22
Last ObjectModification:
2018_05_29-PM-02_07_19
Theory : constructive!set!theory
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