Nuprl Lemma : awf-system_wf
∀[I,A:Type]. (awf-system{i:l}(I;A) ∈ 𝕌')
Proof
Definitions occuring in Statement :
awf-system: awf-system{i:l}(I;A),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
awf-system: awf-system{i:l}(I;A),
prop: ℙ,
and: P ∧ Q
Lemmas referenced :
isect2_wf,
and_wf,
subtype_rel_wf,
list_wf,
awf_wf,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
thin,
instantiate,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
isectEquality,
setEquality,
universeEquality,
cumulativity,
unionEquality,
hypothesisEquality,
hypothesis,
functionEquality,
setElimination,
rename,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[I,A:Type]. (awf-system\{i:l\}(I;A) \mmember{} \mBbbU{}')
Date html generated:
2016_05_15-PM-07_25_38
Last ObjectModification:
2015_12_27-AM-11_23_17
Theory : general
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