Nuprl Lemma : nc-1-as-nc-p
∀[I:fset(ℕ)]. ∀[i:ℕ]. ((i1) ~ (i/1))
Proof
Definitions occuring in Statement :
nc-1: (i1),
nc-p: (i/z),
dM1: 1,
fset: fset(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
nc-p: (i/z),
nc-1: (i1),
top: Top
Lemmas referenced :
dM1-sq-singleton-empty,
nat_wf,
fset_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
sqequalAxiom,
sqequalRule,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[I:fset(\mBbbN{})]. \mforall{}[i:\mBbbN{}]. ((i1) \msim{} (i/1))
Date html generated:
2018_05_23-AM-08_29_21
Last ObjectModification:
2018_05_20-PM-05_39_56
Theory : cubical!type!theory
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