Theorems · Theorem · order theory
StrictAnti.imp
∀ {α : Type u} {β : Type v} [inst : Preorder α] [inst_1 : Preorder β] {f : α → β} {a b : α},
StrictAnti f → a < b → f b < f a- Defined in
- Mathlib.Order.Monotone.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- StrictAntistatement and proof · cited by 204
Cited by4
Results whose statement or proof uses this declaration.
- StrictAnti.strictAntiOnproof · cited by 16
- StrictAnti.wellFoundedGTproof · cited by 0
- StrictAnti.wellFoundedLTproof · cited by 0
- StrictAnti.prodMapproof · cited by 0