Theorems · Theorem · order theory
Antivary.of_inv_left
∀ {ι : Type u_1} {α : Type u_2} {β : Type u_3} [inst : CommGroup α] [inst_1 : Preorder α] [IsOrderedMonoid α]
[inst_3 : PartialOrder β] {f : ι → α} {g : ι → β}, Antivary f⁻¹ g → Monovary f gAlias of the forward direction of antivary_inv_left.
- Defined in
- Mathlib.Algebra.Order.Monovary
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
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Cites7
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
- PartialOrderstatement and proof · cited by 6,410
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- Monovarystatement · cited by 122
- Antivarystatement · cited by 121
- antivary_inv_leftproof · cited by 2
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