Theorems · Theorem · order theory
AntitoneOn.inv
∀ {α : Type u} {β : Type u_1} [inst : Group α] [inst_1 : Preorder α] [MulLeftMono α] [MulRightMono α]
[inst_4 : Preorder β] {f : β → α} {s : Set β}, AntitoneOn f s → MonotoneOn (fun x => (f x)⁻¹) s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
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Cites8
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
- Preorderstatement and proof · cited by 7,952
- Groupstatement and proof · cited by 6,238
- MulLeftMonostatement and proof · cited by 410
- MonotoneOnstatement · cited by 311
- AntitoneOnstatement and proof · cited by 266
- MulRightMonostatement and proof · cited by 263
- inv_le_inv_iffproof · cited by 11
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