Theorems · Theorem · order theory
AddMonoidHom.le_map_tsub
∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : AddCommMonoid α] [inst_2 : Sub α] [OrderedSub α]
[inst_4 : Preorder β] [inst_5 : AddZeroClass β] [inst_6 : Sub β] [OrderedSub β] (f : α →+ β),
Monotone ⇑f → ∀ (a b : α), f a - f b ≤ f (a - b)- Defined in
- Mathlib.Algebra.Order.Sub.Unbundled.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Preorderstatement and proof · cited by 7,952
- AddMonoidHomstatement and proof · cited by 3,230
- Monotonestatement and proof · cited by 1,397
- AddZeroClassstatement and proof · cited by 1,237
- OrderedSubstatement and proof · cited by 236
- AddMonoidHom.toAddHomproof · cited by 9
- AddHom.le_map_tsubproof · cited by 3
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