Nuprl Lemma : coterm_wf
∀[opr:Type]. (coterm(opr) ∈ Type)
Proof
Definitions occuring in Statement :
coterm: coterm(opr),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
coterm: coterm(opr),
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
corec_wf,
coterm-fun_wf,
istype-universe
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
lambdaEquality_alt,
hypothesisEquality,
hypothesis,
inhabitedIsType,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
instantiate,
universeEquality
Latex:
\mforall{}[opr:Type]. (coterm(opr) \mmember{} Type)
Date html generated:
2020_05_19-PM-09_53_26
Last ObjectModification:
2020_03_09-PM-04_08_07
Theory : terms
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