Theorems · Definition · linear algebra
AlternatingMap.curryLeftLinearMap
{R : Type u_1} →
{M : Type u_2} →
{N : Type u_4} →
[inst : CommSemiring R] →
[inst_1 : AddCommMonoid M] →
[inst_2 : AddCommMonoid N] →
[inst_3 : Module R M] →
[inst_4 : Module R N] → {n : ℕ} → M [⋀^Fin n.succ]→ₗ[R] N →ₗ[R] M →ₗ[R] M [⋀^Fin n]→ₗ[R] NAlternatingMap.curryLeft as a LinearMap. This is a separate definition as dot notation
does not work for this version.
- Defined in
- Mathlib.LinearAlgebra.Alternating.Curry
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- AlternatingMapstatement and proof · cited by 329
- AlternatingMap.curryLeftproof · cited by 18
- AlternatingMap.curryLeft_addproof · cited by 0
- AlternatingMap.curryLeft_smulproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- Orientation.areaForm_to_volumeFormproof · cited by 8
- Orientation.areaForm_defstatement and proof · cited by 1
- AlternatingMap.curryLeftLinearMap_applystatement and proof · cited by 1