Theorems · Theorem · linear algebra
LinearMap.coprod_inr
∀ {R : Type u} {M : Type v} {M₂ : Type w} {M₃ : Type y} [inst : Semiring R] [inst_1 : AddCommMonoid M]
[inst_2 : AddCommMonoid M₂] [inst_3 : AddCommMonoid M₃] [inst_4 : Module R M] [inst_5 : Module R M₂]
[inst_6 : Module R M₃] (f : M →ₗ[R] M₃) (g : M₂ →ₗ[R] M₃), f.coprod g ∘ₗ LinearMap.inr R M M₂ = g- Defined in
- Mathlib.LinearAlgebra.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement and proof · cited by 10,215
- zero_addproof · cited by 2,366
- LinearMap.compstatement · cited by 1,642
- map_zeroproof · cited by 1,614
- LinearMap.extproof · cited by 844
- LinearMap.inrstatement · cited by 62
- LinearMap.coprodstatement · cited by 38
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousLinearMap.coprod_comp_inrproof · cited by 5