Theorems · Theorem · order theory
CompleteLattice.isCompactlyGenerated_of_wellFoundedGT
∀ {α : Type u_2} [inst : CompleteLattice α] [h : WellFoundedGT α], IsCompactlyGenerated α- Defined in
- Mathlib.Order.CompactlyGenerated.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLatticeWellFoundedGT
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CompleteLatticestatement and proof · cited by 1,048
- WellFoundedGTstatement and proof · cited by 114
- IsCompactlyGeneratedstatement · cited by 37
- sSup_singletonproof · cited by 14
- CompleteLattice.isSupFiniteCompact_iff_all_elements_compactproof · cited by 3
- CompleteLattice.wellFoundedGT_iff_isSupFiniteCompactproof · cited by 3
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