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Theorems · Definition · field theory

RingHom.rangeRestrictField

{K : Type u} → {L : Type v} → [inst : DivisionRing K] → [inst_1 : DivisionRing L] → (f : K →+* L) → K →+* ↥f.fieldRange

Restriction of a ring homomorphism to its range interpreted as a subfield.

Defined in
Mathlib.Algebra.Field.Subfield.Basic
Cited by
4 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionRingDivisionRing

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