Theorems · Theorem · linear algebra
exteriorPower.map_comp
∀ {R : Type u} [inst : CommRing R] {n : ℕ} {M : Type u_1} {N : Type u_2} {N' : Type u_3} [inst_1 : AddCommGroup M]
[inst_2 : Module R M] [inst_3 : AddCommGroup N] [inst_4 : Module R N] [inst_5 : AddCommGroup N']
[inst_6 : Module R N'] (f : M →ₗ[R] N) (g : N →ₗ[R] N'),
exteriorPower.map n (g ∘ₗ f) = exteriorPower.map n g ∘ₗ exteriorPower.map n f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- Submodulestatement · cited by 7,192
- LinearMap.compstatement and proof · cited by 1,642
- QuadraticFormstatement · cited by 507
- ExteriorAlgebrastatement · cited by 131
- ExteriorAlgebra.exteriorPowerstatement · cited by 66
- AlternatingMap.extproof · cited by 40
Cited by1
Results whose statement or proof uses this declaration.
- exteriorPower.map_injectiveproof · cited by 1