Theorems · Theorem · order theory
Function.mulSupport_max
∀ {α : Type u_2} {M : Type u_3} [inst : One M] [inst_1 : LinearOrder M] (f g : α → M),
(Function.mulSupport fun x => max (f x) (g x)) ⊆ Function.mulSupport f ∪ Function.mulSupport 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
- OneLinearOrder
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.mulSupportstatement · cited by 240
- Function.mulSupport_supproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Function.HasFiniteMulSupport.maxproof · cited by 0