Nuprl Lemma : DeMorgan-algebra-structure_wf
DeMorganAlgebraStructure ∈ 𝕌'
Proof
Definitions occuring in Statement :
DeMorgan-algebra-structure: DeMorganAlgebraStructure,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
DeMorgan-algebra-structure: DeMorganAlgebraStructure,
member: t ∈ T,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
record+: record+,
record-select: r.x,
subtype_rel: A ⊆r B,
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
btrue: tt,
guard: {T}
Lemmas referenced :
record_wf,
top_wf,
record+_wf,
subtype_rel_self
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
sqequalRule,
lambdaEquality,
cumulativity,
hypothesis,
atomEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality,
tokenEquality,
dependentIntersectionElimination,
applyEquality,
instantiate,
functionEquality,
dependentIntersectionEqElimination,
hypothesisEquality
Latex:
DeMorganAlgebraStructure \mmember{} \mBbbU{}'
Date html generated:
2020_05_20-AM-08_55_03
Last ObjectModification:
2015_12_28-PM-01_56_04
Theory : lattices
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