Theorems · Definition · linear algebra
ExteriorAlgebra.toTrivSqZeroExt
{R : Type u1} →
[inst : CommRing R] →
{M : Type u2} →
[inst_1 : AddCommGroup M] →
[inst_2 : Module R M] →
[inst_3 : Module Rᵐᵒᵖ M] → [inst_4 : IsCentralScalar R M] → ExteriorAlgebra R M →ₐ[R] TrivSqZeroExt R MThe canonical map from ExteriorAlgebra R M into TrivSqZeroExt R M that sends
ExteriorAlgebra.ι to TrivSqZeroExt.inr.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- MulOppositestatement and proof · cited by 1,135
- QuadraticFormstatement · cited by 507
- TrivSqZeroExtstatement · cited by 180
- ExteriorAlgebrastatement · cited by 131
- IsCentralScalarstatement and proof · cited by 39
- TrivSqZeroExt.inrHomproof · cited by 16
- ExteriorAlgebra.liftproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- ExteriorAlgebra.ιInvproof · cited by 5
- ExteriorAlgebra.toTrivSqZeroExt_ιstatement · cited by 4
- ExteriorAlgebra.ι_eq_algebraMap_iffproof · cited by 2
- ExteriorAlgebra.toTrivSqZeroExt_comp_mapstatement and proof · cited by 1
- ExteriorAlgebra.ιInv_comp_mapproof · cited by 1
- ExteriorAlgebra.map_surjective_iffproof · cited by 0