Theorems · Definition · order theory
AntivaryOn
{ι : Type u_1} → {α : Type u_3} → {β : Type u_4} → [Preorder α] → [Preorder β] → (ι → α) → (ι → β) → Set ι → Propf antivaries with g on s if g i < g j implies f j ≤ f i for all i, j ∈ s.
- Defined in
- Mathlib.Order.Monotone.Monovary
- Cited by
- 138 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 14 definitions · 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.
Cited by138
Results whose statement or proof uses this declaration.
- Antivary.antivaryOnstatement · cited by 7
- AntivaryOn.dual_rightstatement · cited by 5
- AntivaryOn.symmstatement and proof · cited by 5
- monovaryOn_toDual_rightstatement · cited by 4
- antivaryOn_inv_left₀statement · cited by 3
- antivaryOn_inv_right₀statement · cited by 3
- antivaryOn_neg_leftstatement · cited by 3
- antivaryOn_neg_rightstatement · cited by 3
- monovaryOn_inv_left₀statement · cited by 3
- monovaryOn_inv_right₀statement · cited by 3
- monovaryOn_neg_leftstatement · cited by 3
- monovaryOn_neg_rightstatement · cited by 3