Nuprl Lemma : bdd-lattice_wf
BoundedLattice ∈ 𝕌'
Proof
Definitions occuring in Statement :
bdd-lattice: BoundedLattice,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
bdd-lattice: BoundedLattice,
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
and: P ∧ Q,
prop: ℙ
Lemmas referenced :
bounded-lattice-structure_wf,
and_wf,
lattice-axioms_wf,
bounded-lattice-structure-subtype,
bounded-lattice-axioms_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
setEquality,
cut,
lemma_by_obid,
hypothesis,
cumulativity,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
applyEquality
Latex:
BoundedLattice \mmember{} \mBbbU{}'
Date html generated:
2020_05_20-AM-08_24_17
Last ObjectModification:
2015_12_28-PM-02_03_25
Theory : lattices
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