Theorems · Theorem · order theory
StrictAnti.trans_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 : PartialOrder ι], StrictAnti f → Monovary g f → Antitone g- Defined in
- Mathlib.Order.Monotone.Monovary
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderPreorderPartialOrder
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.
- Preorderstatement and proof · cited by 7,952
- PartialOrderstatement and proof · cited by 6,410
- Antitonestatement · cited by 563
- StrictAntistatement and proof · cited by 204
- Monovarystatement and proof · cited by 122
- antitone_iff_forall_ltproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.