Theorems · Definition · field theory

LinearOrderedField.inducedAddHom

Deprecated since 2026-02-24Use ConditionallyCompleteLinearOrderedField.inducedAddHom instead.

(α : Type u_2) →
  (β : Type u_3) →
    [inst : Field α] →
      [inst_1 : LinearOrder α] →
        [IsStrictOrderedRing α] →
          [inst_3 : Field β] →
            [inst_4 : ConditionallyCompleteLinearOrder β] → [IsStrictOrderedRing β] → [Archimedean α] → α →+ β

Alias of ConditionallyCompleteLinearOrderedField.inducedAddHom. inducedMap as an additive homomorphism.

Defined in

Mathlib.Algebra.Order.CompleteField

Cited by

0 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingFieldConditionallyCompleteLinearOrderIsStrictOrderedRingArchimedean