Theorems · Theorem · group theory
Pi.monoidHom_injective
Deprecated since 2026-05-29Use MonoidHom.pi_injective instead.
∀ {I : Type u} {f : I → Type v} [inst : (i : I) → MulOneClass (f i)] {γ : Type w} [Nonempty I] [inst_2 : MulOneClass γ]
(g : (i : I) → γ →* f i), (∀ (i : I), Function.Injective ⇑(g i)) → Function.Injective ⇑(MonoidHom.pi g)Alias of MonoidHom.pi_injective.
- Defined in
- Mathlib.Algebra.Group.Pi.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
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Cites5
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- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- MulOneClassstatement · cited by 1,018
- MonoidHom.pistatement · cited by 9
- MonoidHom.pi_injectiveproof · cited by 3
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