Theorems · Theorem · group theory
Pi.mulHom_injective
Deprecated since 2026-05-29Use MulHom.pi_injective instead.
∀ {I : Type u} {f : I → Type v} [inst : (i : I) → Mul (f i)] {γ : Type w} [Nonempty I] [inst_2 : Mul γ]
(g : (i : I) → γ →ₙ* f i), (∀ (i : I), Function.Injective ⇑(g i)) → Function.Injective ⇑(MulHom.pi g)Alias of MulHom.pi_injective.
- Defined in
- Mathlib.Algebra.Group.Pi.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses Quot.sound
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MulHomstatement · cited by 299
- MulHom.pistatement · cited by 5
- MulHom.pi_injectiveproof · cited by 4
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