Theorems · Theorem · order theory
Finset.le_min_iff
∀ {α : Type u_2} [inst : LinearOrder α] {m : WithTop α} {s : Finset α}, m ≤ s.min ↔ ∀ a ∈ s, m ≤ ↑a- Defined in
- Mathlib.Data.Finset.Max
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 55 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.
Cites6
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
- WithTopstatement and proof · cited by 3,754
- WithTop.somestatement · cited by 1,128
- Finset.minstatement · cited by 36
- Finset.le_inf_iffproof · cited by 12
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