Nuprl Lemma : mtype_wf
∀[L:MutualRectypeSpec]. ∀[i:mKinds]. (mtype(L;i) ∈ Type)
Proof
Definitions occuring in Statement :
mtype: mtype(L;i),
mkinds: mKinds,
mrec_spec: MutualRectypeSpec,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
mkinds: mKinds
Lemmas referenced :
mtype-sqequal,
mrec_wf,
mkinds_wf,
mrec_spec_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
setElimination,
rename,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :universeIsType,
Error :isect_memberEquality_alt,
Error :isectIsTypeImplies,
Error :inhabitedIsType
Latex:
\mforall{}[L:MutualRectypeSpec]. \mforall{}[i:mKinds]. (mtype(L;i) \mmember{} Type)
Date html generated:
2019_06_20-PM-02_14_55
Last ObjectModification:
2019_02_25-PM-02_22_28
Theory : tuples
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