Theorems · Theorem · order theory
Finset.min_singleton
∀ {α : Type u_2} [inst : LinearOrder α] {a : α}, {a}.min = ↑a- Defined in
- Mathlib.Data.Finset.Max
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 59 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 and proof · cited by 1,128
- Finset.minstatement and proof · cited by 36
- Finset.min_insertproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.trailingDegree_monomialproof · cited by 6
- SimpleGraph.minDegree_of_subsingletonproof · cited by 6
- SimpleGraph.IsRegularOfDegree.minDegree_eqproof · cited by 1
- Finset.min_pairproof · cited by 0