Nuprl Lemma : indNat_wf
INat ∈ 𝕌'
Proof
Definitions occuring in Statement :
indNat: INat,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
indNat: INat,
member: t ∈ T,
all: ∀x:A. B[x],
so_lambda: λ2x.t[x],
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s]
Lemmas referenced :
dep-isect_wf,
church-Nat_wf,
church-inductive_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
hypothesis,
lambdaEquality_alt,
isectElimination,
hypothesisEquality,
universeIsType
Latex:
INat \mmember{} \mBbbU{}'
Date html generated:
2020_05_20-AM-08_05_47
Last ObjectModification:
2019_11_15-PM-10_37_13
Theory : general
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