Theorems · Definition · linear algebra
ExteriorAlgebra.algebraMapInv
{R : Type u1} →
[inst : CommRing R] → {M : Type u2} → [inst_1 : AddCommGroup M] → [inst_2 : Module R M] → ExteriorAlgebra R M →ₐ[R] RThe left-inverse of algebraMap.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 65 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.
Cites8
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- AlgHomstatement · cited by 3,236
- QuadraticFormstatement · cited by 507
- ExteriorAlgebrastatement · cited by 131
- ExteriorAlgebra.liftproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- ExteriorAlgebra.algebraMap_leftInversestatement · cited by 4
- ExteriorAlgebra.invertibleAlgebraMapEquivproof · cited by 2
- ExteriorAlgebra.invertibleAlgebraMapEquiv_apply_invOfstatement · cited by 0
- ExteriorAlgebra.isUnit_algebraMapproof · cited by 0