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Theorems · Theorem · field theory

RingHom.ext_rat

∀ {F : Type u_1} {R : Type u_5} [inst : Semiring R] [inst_1 : FunLike F ℚ R] [RingHomClass F ℚ R] (f g : F), f = g

Any two ring homomorphisms from to a semiring are equal. If the codomain is a division ring, then this lemma follows from eq_ratCast.

Defined in
Mathlib.Data.Rat.Cast.Defs
Cited by
2 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringFunLikeRingHomClass

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