Theorems · Theorem · linear algebra
exteriorPower.map_id
∀ {R : Type u} [inst : CommRing R] {n : ℕ} {M : Type u_1} [inst_1 : AddCommGroup M] [inst_2 : Module R M],
exteriorPower.map n LinearMap.id = LinearMap.id- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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 · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Submodulestatement · cited by 7,192
- LinearMap.idstatement and proof · cited by 625
- 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