Theorems · Definition · order theory

Nat.castOrderEmbedding

{α : Type u_1} →
  [inst : AddMonoidWithOne α] → [inst_1 : PartialOrder α] → [AddLeftMono α] → [ZeroLEOneClass α] → [CharZero α] → ℕ ↪o α

Nat.cast : ℕ → α as an OrderEmbedding

Defined in

Mathlib.Data.Nat.Cast.Order.Basic

Cited by

13 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidWithOnePartialOrderAddLeftMonoZeroLEOneClassCharZero