Theorems · Theorem · linear algebra
AlternatingMap.curryLeft_apply_apply
∀ {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} (f : M [⋀^Fin n.succ]→ₗ[R] N) (x : M)
(v : Fin n → M), (f.curryLeft x) v = f (Matrix.vecCons x v)- Defined in
- Mathlib.LinearAlgebra.Alternating.Curry
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 38 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.
- DFunLike.coestatement · cited by 62,936
- 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
- Matrix.vecConsstatement · cited by 852
- AlternatingMapstatement and proof · cited by 329
- AlternatingMap.curryLeftstatement · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- ExteriorAlgebra.liftAlternating_apply_ιMultiproof · cited by 1
- ExteriorAlgebra.liftAlternating_ιproof · cited by 0