Theorems · Definition · number theory

Rat.castOrderEmbedding

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

Coercion from ℚ as an order embedding.

Defined in

Mathlib.Data.Rat.Cast.Order

Cited by

12 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRing