Theorems · Theorem · order theory
CompleteLattice.IsSupFiniteCompact.wellFoundedGT
∀ (α : Type u_2) [inst : CompleteLattice α], CompleteLattice.IsSupFiniteCompact α → WellFoundedGT α
Alias of the reverse direction of CompleteLattice.wellFoundedGT_iff_isSupFiniteCompact.
- 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
- CompleteLattice
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Cites4
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 · cited by 114
- CompleteLattice.IsSupFiniteCompactstatement · cited by 10
- CompleteLattice.wellFoundedGT_iff_isSupFiniteCompactproof · cited by 3
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