Theorems · Theorem · order theory
Monovary.monovaryOn
∀ {ι : Type u_1} {α : Type u_3} {β : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] {f : ι → α} {g : ι → β},
Monovary f g → ∀ (s : Set ι), MonovaryOn f g s- Defined in
- Mathlib.Order.Monotone.Monovary
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- MonovaryOnstatement · cited by 139
- Monovarystatement and proof · cited by 122
Cited by9
Results whose statement or proof uses this declaration.
- Monovary.sum_comp_perm_smul_eq_sum_smul_iffproof · cited by 1
- Monovary.sum_comp_perm_smul_le_sum_smulproof · cited by 1
- Monovary.sum_comp_perm_smul_lt_sum_smul_iffproof · cited by 1
- Monovary.sum_smul_comp_perm_eq_sum_smul_iffproof · cited by 1
- Monovary.sum_smul_comp_perm_le_sum_smulproof · cited by 1
- Monovary.sum_smul_comp_perm_lt_sum_smul_iffproof · cited by 1
- Monovary.sum_mul_sum_le_card_mul_sumproof · cited by 0
- Monovary.sum_smul_sum_le_card_smul_sumproof · cited by 0
- Antivary.card_smul_sum_le_sum_smul_sumproof · cited by 0