Theorems · Theorem · linear algebra
ExteriorAlgebra.algebraMap_leftInverse
∀ {R : Type u1} [inst : CommRing R] (M : Type u2) [inst_1 : AddCommGroup M] [inst_2 : Module R M],
Function.LeftInverse ⇑ExteriorAlgebra.algebraMapInv ⇑(algebraMap R (ExteriorAlgebra R M))- Cited by
- 4 results in Mathlib
- Foundations
- Depth 66 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- AlgHomstatement · cited by 3,236
- QuadraticFormstatement · cited by 507
- CliffordAlgebrastatement · cited by 309
- ExteriorAlgebrastatement · cited by 131
- AlgHom.commutesproof · cited by 96
- ExteriorAlgebra.liftproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- ExteriorAlgebra.invertibleAlgebraMapEquivproof · cited by 2
- ExteriorAlgebra.algebraMap_eq_zero_iffproof · cited by 0
- ExteriorAlgebra.algebraMap_injproof · cited by 0
- ExteriorAlgebra.isUnit_algebraMapproof · cited by 0
- ExteriorAlgebra.algebraMap_eq_one_iffproof · cited by 0