Theorems · Theorem · order theory
Function.support_min
∀ {α : Type u_2} {M : Type u_3} [inst : Zero M] [inst_1 : LinearOrder M] (f g : α → M),
(Function.support fun x => min (f x) (g x)) ⊆ Function.support f ∪ Function.support g- Defined in
- Mathlib.Algebra.Order.Group.Indicator
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroLinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Function.supportstatement · cited by 610
- Function.support_infproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Function.HasFiniteSupport.minproof · cited by 0