Theorems · Theorem · ring theory
Pi.ringHom_injective
Deprecated since 2026-05-30Use RingHom.pi_injective instead.
∀ {I : Type u} {f : I → Type u_1} {γ : Type u_2} [Nonempty I] [inst : (i : I) → NonAssocSemiring (f i)]
[inst_1 : NonAssocSemiring γ] (g : (i : I) → γ →+* f i),
(∀ (i : I), Function.Injective ⇑(g i)) → Function.Injective ⇑(RingHom.pi g)Alias of RingHom.pi_injective.
- Defined in
- Mathlib.Algebra.Ring.Pi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
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Cites5
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- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- NonAssocSemiringstatement · cited by 805
- RingHom.pistatement · cited by 26
- RingHom.pi_injectiveproof · cited by 1
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