Theorems · Definition · linear algebra
LinearPMap.snd
{R : Type u_1} →
[inst : Ring R] →
{E : Type u_4} →
[inst_1 : AddCommGroup E] →
[inst_2 : Module R E] →
{F : Type u_5} →
[inst_3 : AddCommGroup F] → [inst_4 : Module R F] → Submodule R E → Submodule R F → E × F →ₗ.[R] FProjection to the second coordinate as a LinearPMap
- Defined in
- Mathlib.LinearAlgebra.LinearPMap
- Cited by
- 2 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- LinearMap.compproof · cited by 1,642
- Submodule.subtypeproof · cited by 480
- LinearPMapstatement · cited by 179
- LinearMap.sndproof · cited by 61
- Submodule.prodproof · cited by 55
Cited by3
Results whose statement or proof uses this declaration.
- LinearPMap.coprodproof · cited by 2
- exists_extension_of_le_sublinearproof · cited by 2
- LinearPMap.snd_applystatement · cited by 0