Theorems · Definition · order theory

OrderEmbedding.addLeft

{α : Type u_2} → [inst : Add α] → [inst_1 : LinearOrder α] → [AddLeftStrictMono α] → α → α ↪o α

The order embedding sending b to a + b, for some fixed a. See also OrderIso.addLeft when working in an additive ordered group.

Defined in

Mathlib.Algebra.Order.Monoid.Basic

Cited by

5 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext

Assumes

AddLinearOrderAddLeftStrictMono