Theorems · Theorem · order theory
Finset.mem_of_min
∀ {α : Type u_2} [inst : LinearOrder α] {s : Finset α} {a : α}, s.min = ↑a → a ∈ s- Defined in
- Mathlib.Data.Finset.Max
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 62 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 · cited by 3,754
- WithTop.somestatement · cited by 1,128
- Finset.minstatement · cited by 36
- Finset.mem_of_maxproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Finset.min'_memproof · cited by 24
- Polynomial.trailingCoeff_eq_zeroproof · cited by 5