Nuprl Lemma : mrec_wf
∀[L:MutualRectypeSpec]. ∀[i:Atom]. (mrec(L;i) ∈ Type)
Proof
Definitions occuring in Statement :
mrec: mrec(L;i),
mrec_spec: MutualRectypeSpec,
uall: ∀[x:A]. B[x],
member: t ∈ T,
atom: Atom,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
mrec: mrec(L;i),
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Lemmas referenced :
prec_wf,
mrec-spec_wf,
istype-atom,
mrec_spec_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
atomEquality,
Error :lambdaEquality_alt,
hypothesisEquality,
hypothesis,
Error :inhabitedIsType,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :isect_memberEquality_alt,
Error :isectIsTypeImplies,
Error :universeIsType
Latex:
\mforall{}[L:MutualRectypeSpec]. \mforall{}[i:Atom]. (mrec(L;i) \mmember{} Type)
Date html generated:
2019_06_20-PM-02_14_44
Last ObjectModification:
2019_02_24-PM-01_01_56
Theory : tuples
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