Theorems · Definition · number theory

NNRat.castOrderEmbedding

{K : Type u_5} → [inst : Semifield K] → [inst_1 : LinearOrder K] → [IsStrictOrderedRing K] → ℚ≥0 ↪o K

Coercion from ℚ as an order embedding.

Defined in

Mathlib.Data.Rat.Cast.Order

Cited by

12 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemifieldLinearOrderIsStrictOrderedRing