Theorems · Theorem · order theory
Finset.isLUB_iff_isGreatest
∀ {α : Type u_2} [inst : LinearOrder α] (i : α) (s : Finset α), s.Nonempty → (IsLUB (↑s) i ↔ IsGreatest (↑s) i)- Defined in
- Mathlib.Data.Finset.Max
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- SetLike.coestatement · cited by 8,199
- Finset.Nonemptystatement and proof · cited by 1,001
- IsLUBstatement · cited by 280
- IsGreateststatement · cited by 112
- Finset.isGLB_iff_isLeastproof · cited by 2
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