Nuprl Lemma : church-succ_wf
cS ∈ cNat ⟶ cNat
Proof
Definitions occuring in Statement :
church-succ: cS,
church-Nat: cNat,
member: t ∈ T,
function: x:A ⟶ B[x]
Definitions unfolded in proof :
church-succ: cS,
member: t ∈ T,
church-Nat: cNat,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x]
Lemmas referenced :
istype-universe,
church-Nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaEquality_alt,
isect_memberEquality_alt,
applyEquality,
hypothesisEquality,
cut,
thin,
because_Cache,
hypothesis,
sqequalHypSubstitution,
functionIsType,
inhabitedIsType,
universeIsType,
instantiate,
introduction,
extract_by_obid,
isectElimination,
universeEquality
Latex:
cS \mmember{} cNat {}\mrightarrow{} cNat
Date html generated:
2020_05_20-AM-08_05_25
Last ObjectModification:
2019_11_15-PM-09_53_13
Theory : general
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