Theorems · Theorem · order theory
Antitone.monovary
∀ {ι : Type u_1} {α : Type u_3} {β : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] {f : ι → α} {g : ι → β}
[inst_2 : LinearOrder ι], Antitone f → Antitone g → Monovary f g- Defined in
- Mathlib.Order.Monotone.Monovary
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- PreorderPreorderLinearOrder
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.
- LinearOrderstatement and proof · cited by 8,572
- Preorderstatement and proof · cited by 7,952
- Antitonestatement and proof · cited by 563
- Monovarystatement · cited by 122
- Antitone.dual_rightproof · cited by 42
- Monotone.antivaryproof · cited by 1
- Antivary.dual_leftproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Antitone.antivaryproof · cited by 0