Nuprl Lemma : church-succ_wf2
cS ∈ INat ⟶ INat
Proof
Definitions occuring in Statement : 
indNat: INat
, 
church-succ: cS
, 
member: t ∈ T
, 
function: x:A ⟶ B[x]
Definitions unfolded in proof : 
member: t ∈ T
, 
indNat: INat
, 
uall: ∀[x:A]. B[x]
Lemmas referenced : 
indNat_wf, 
church-succ_wf, 
church-iS
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
functionExtensionality, 
sqequalHypSubstitution, 
dependentIntersectionElimination, 
cut, 
introduction, 
extract_by_obid, 
hypothesis, 
dependentIntersection_memberEquality, 
applyEquality, 
isectElimination, 
thin, 
equalityTransitivity, 
equalitySymmetry
Latex:
cS  \mmember{}  INat  {}\mrightarrow{}  INat
Date html generated:
2020_05_20-AM-08_05_55
Last ObjectModification:
2019_11_15-PM-10_51_53
Theory : general
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