Theorems · Definition · order theory
StrictAnti
{α : Type u} → {β : Type v} → [Preorder α] → [Preorder β] → (α → β) → PropA function f is strictly antitone if a < b implies f b < f a.
- Defined in
- Mathlib.Order.Monotone.Defs
- Cited by
- 204 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 5 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by205
Results whose statement or proof uses this declaration.
- List.SortedGTproof · cited by 54
- exists_seq_strictAnti_tendstostatement · cited by 18
- MeasureTheory.lintegral_eq_zero_iff'proof · cited by 16
- StrictAnti.le_iff_gestatement and proof · cited by 16
- StrictAnti.strictAntiOnstatement and proof · cited by 16
- StrictAnti.antitonestatement and proof · cited by 15
- StrictAnti.injectivestatement and proof · cited by 12
- exists_seq_strictAnti_tendsto'statement and proof · cited by 10
- StrictAnti.lt_iff_gtstatement and proof · cited by 10
- zpow_right_strictAnti₀statement · cited by 7
- StrictMono.comp_strictAntistatement and proof · cited by 6
- List.SortedGT.strictAnti_getstatement · cited by 5
Showing the 200 most cited of 205.