Theorems · Theorem · ring theory
TrivSqZeroExt.algHom_ext
∀ {R' : Type u} {M : Type v} [inst : CommSemiring R'] [inst_1 : AddCommMonoid M] [inst_2 : Module R' M]
[inst_3 : Module R'ᵐᵒᵖ M] [inst_4 : IsCentralScalar R' M] {A : Type u_2} [inst_5 : Semiring A] [inst_6 : Algebra R' A]
⦃f g : TrivSqZeroExt R' M →ₐ[R'] A⦄, (∀ (m : M), f (TrivSqZeroExt.inr m) = g (TrivSqZeroExt.inr m)) → f = g- Defined in
- Mathlib.Algebra.TrivSqZeroExt.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement and proof · cited by 3,236
- MulOppositestatement and proof · cited by 1,135
- TrivSqZeroExtstatement and proof · cited by 180
- AlgHom.commutesproof · cited by 96
- TrivSqZeroExt.inrstatement and proof · cited by 59
- IsCentralScalarstatement and proof · cited by 39
Cited by2
Results whose statement or proof uses this declaration.
- TrivSqZeroExt.map_comp_mapproof · cited by 0
- TrivSqZeroExt.map_idproof · cited by 0