Nuprl Lemma : bdd-distributive-lattice-subtype-bdd-lattice
BoundedDistributiveLattice ⊆r BoundedLattice
Proof
Definitions occuring in Statement :
bdd-distributive-lattice: BoundedDistributiveLattice,
bdd-lattice: BoundedLattice,
subtype_rel: A ⊆r B
Definitions unfolded in proof :
subtype_rel: A ⊆r B,
member: t ∈ T,
bdd-distributive-lattice: BoundedDistributiveLattice,
bdd-lattice: BoundedLattice,
and: P ∧ Q,
uall: ∀[x:A]. B[x],
prop: ℙ
Lemmas referenced :
and_wf,
lattice-axioms_wf,
bounded-lattice-structure-subtype,
bounded-lattice-axioms_wf,
bdd-distributive-lattice_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaEquality,
sqequalHypSubstitution,
setElimination,
thin,
rename,
cut,
dependent_set_memberEquality,
hypothesisEquality,
productElimination,
hypothesis,
lemma_by_obid,
isectElimination,
applyEquality,
sqequalRule
Latex:
BoundedDistributiveLattice \msubseteq{}r BoundedLattice
Date html generated:
2020_05_20-AM-08_25_08
Last ObjectModification:
2015_12_28-PM-02_03_17
Theory : lattices
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