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) → Propf 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
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.
- Monovary.monovaryOnstatement and proof · cited by 9
- Monovary.symmstatement and proof · cited by 5
- antivary_inv_left₀statement · cited by 3
- antivary_inv_right₀statement · cited by 3
- antivary_neg_leftstatement · cited by 3
- antivary_neg_rightstatement · cited by 3
- monovary_inv_left₀statement · cited by 3
- monovary_inv_right₀statement · cited by 3
- monovary_neg_leftstatement · cited by 3
- monovary_neg_rightstatement · cited by 3
- antivary_inv_leftstatement · cited by 2
- antivary_inv_rightstatement · cited by 2