Theorems · Theorem · order theory
StrictMono.trans_antivary
∀ {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], StrictMono f → Antivary 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
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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
- StrictMonostatement and proof · cited by 706
- Antitonestatement · cited by 563
- Antivarystatement and proof · cited by 121
- antitone_iff_forall_ltproof · cited by 7
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