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Theorems · Theorem · commutative algebra

GradedRingHom.ext_iff

∀ {ι : Type u_1} {A : Type u_2} {B : Type u_3} {σ : Type u_6} {τ : Type u_7} [inst : Semiring A] [inst_1 : Semiring B]
  [inst_2 : SetLike σ A] [inst_3 : SetLike τ B] {𝒜 : ι → σ} {ℬ : ι → τ} {f g : 𝒜 →+*ᵍ ℬ}, f = g ↔ ∀ (x : A), f x = g x
Defined in
Mathlib.RingTheory.GradedAlgebra.RingHom
Cited by
1 results in Mathlib
Foundations
Depth 22 from the axioms · uses Quot.sound
Assumes
SemiringSemiringSetLikeSetLike
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

GradedRingHom.cancel_right · cited by 0GradedRingHom.cancel_rightDFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringSetLike · cited by 1084SetLikeGradedRingHom · cited by 91GradedRingHomGradedRingHom.ext · cited by 7GradedRingHom.extGradedRingHom.ext_iffCITED BYCITES

Cites5

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Cited by1

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