Nuprl Lemma : nh-id_wf
∀[I:fset(ℕ)]. (1 ∈ I ⟶ I)
Proof
Definitions occuring in Statement :
nh-id: 1,
names-hom: I ⟶ J,
fset: fset(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
names-hom: I ⟶ J,
uall: ∀[x:A]. B[x],
member: t ∈ T,
nh-id: 1
Lemmas referenced :
dM_inc_wf,
names_wf,
fset_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
lambdaEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[I:fset(\mBbbN{})]. (1 \mmember{} I {}\mrightarrow{} I)
Date html generated:
2016_05_18-AM-11_59_27
Last ObjectModification:
2015_12_28-PM-03_07_01
Theory : cubical!type!theory
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