Nuprl Lemma : dM_wf
∀[I:fset(ℕ)]. (dM(I) ∈ DeMorganAlgebra)
Proof
Definitions occuring in Statement :
dM: dM(I),
DeMorgan-algebra: DeMorganAlgebra,
fset: fset(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
dM: dM(I)
Lemmas referenced :
free-DeMorgan-algebra_wf,
names_wf,
names-deq_wf,
fset_wf,
nat_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[I:fset(\mBbbN{})]. (dM(I) \mmember{} DeMorganAlgebra)
Date html generated:
2016_05_18-AM-11_56_22
Last ObjectModification:
2015_12_28-PM-03_08_53
Theory : cubical!type!theory
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