Theorems · Theorem · order theory
Set.mulIndicator_le
∀ {α : Type u_2} {M : Type u_3} [inst : Monoid M] [inst_1 : PartialOrder M] [CanonicallyOrderedMul M] {s : Set α}
{f g : α → M}, (∀ a ∈ s, f a ≤ g a) → s.mulIndicator f ≤ g- Defined in
- Mathlib.Algebra.Order.Group.Indicator
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- Monoidstatement and proof · cited by 3,887
- Set.mulIndicatorstatement · cited by 163
- CanonicallyOrderedMulstatement and proof · cited by 51
- one_leproof · cited by 23
- Set.mulIndicator_le'proof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.