Nuprl Lemma : nat-prop_wf
∀[n:ℕ]. (nat-prop{i:l}(n) ∈ 𝕌')
Proof
Definitions occuring in Statement :
nat-prop: nat-prop{i:l}(n),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
and: P ∧ Q
Lemmas referenced :
nat-prop-dep-all-wf,
istype-nat
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
productElimination,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[n:\mBbbN{}]. (nat-prop\{i:l\}(n) \mmember{} \mBbbU{}')
Date html generated:
2020_05_19-PM-09_39_52
Last ObjectModification:
2020_03_04-PM-03_43_43
Theory : co-recursion-2
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