Theorems · Theorem · ring theory
Pi.ringHom_apply
Deprecated since 2026-05-30Use RingHom.pi_apply instead.
∀ {I : Type u} {f : I → Type u_1} {γ : Type u_2} [inst : (i : I) → NonAssocSemiring (f i)] [inst_1 : NonAssocSemiring γ]
(g : (i : I) → γ →+* f i) (x : γ) (b : I), (RingHom.pi g) x b = (g b) xAlias of RingHom.pi_apply.
- 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
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- NonAssocSemiringstatement · cited by 805
- RingHom.pistatement · cited by 26
- RingHom.pi_applyproof · cited by 12
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