Theorems · Theorem · order theory
StrictMono.comp_strictAnti
∀ {α : Type u} {β : Type v} {γ : Type w} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : Preorder γ] {g : β → γ}
{f : α → β}, StrictMono g → StrictAnti f → StrictAnti (g ∘ f)- Defined in
- Mathlib.Order.Monotone.Defs
- Cited by
- 6 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.
Cites3
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
- StrictMonostatement and proof · cited by 706
- StrictAntistatement and proof · cited by 204
Cited by6
Results whose statement or proof uses this declaration.
- Real.strictAnti_rpow_of_base_lt_oneproof · cited by 3
- EReal.neg_strictAntiproof · cited by 2
- StrictAnti.const_mulproof · cited by 1
- StrictAnti.mul_constproof · cited by 0
- StrictAnti.smul_constproof · cited by 0
- StrictAnti.const_smulproof · cited by 0