Mathlib Map

Theorems · Definition · order theory

Monovary

{ι : Type u_1} → {α : Type u_3} → {β : Type u_4} → [Preorder α] → [Preorder β] → (ι → α) → (ι → β) → Prop

f monovaries with g if g i < g j implies f i ≤ f j.

Defined in
Mathlib.Order.Monotone.Monovary
Cited by
122 results in Mathlib
Foundations
Depth 2 from the axioms, rests on 8 definitions · uses no axioms
Assumes
PreorderPreorder

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 by122

Results whose statement or proof uses this declaration.