Nuprl Lemma : distributive-lattice_wf
DistributiveLattice ∈ 𝕌'
Proof
Definitions occuring in Statement :
distributive-lattice: DistributiveLattice,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
distributive-lattice: DistributiveLattice,
member: t ∈ T,
uall: ∀[x:A]. B[x],
so_lambda: λ2x.t[x],
so_apply: x[s],
and: P ∧ Q,
prop: ℙ
Lemmas referenced :
lattice-structure_wf,
and_wf,
lattice-axioms_wf,
uall_wf,
lattice-point_wf,
equal_wf,
lattice-meet_wf,
lattice-join_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
setEquality,
cut,
lemma_by_obid,
hypothesis,
cumulativity,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
lambdaEquality
Latex:
DistributiveLattice \mmember{} \mBbbU{}'
Date html generated:
2020_05_20-AM-08_24_59
Last ObjectModification:
2015_12_28-PM-02_03_24
Theory : lattices
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