Theorems · Theorem · linear algebra
Module.Basis.isUnit_det
∀ {R : Type u_1} [inst : CommRing R] {M : Type u_2} [inst_1 : AddCommGroup M] [inst_2 : Module R M] {ι : Type u_4}
[inst_3 : DecidableEq ι] [inst_4 : Fintype ι] (e e' : Module.Basis ι R M), IsUnit (e.det ⇑e')- Defined in
- Mathlib.LinearAlgebra.Determinant
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 110 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.coestatement · 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
- Fintypestatement and proof · cited by 7,736
- IsUnitstatement · cited by 1,602
- Module.Basisstatement and proof · cited by 1,477
- AlternatingMapstatement · cited by 329
- Module.Basis.detstatement · cited by 73
- Module.Basis.linearIndependentproof · cited by 54
- Module.Basis.span_eqproof · cited by 44
- Module.Basis.is_basis_iff_detproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- ZLattice.covolume_div_covolume_eq_relIndexproof · cited by 2
- Module.Basis.orientation_eq_iff_det_posproof · cited by 2
- Module.Basis.det_invstatement and proof · cited by 2
- ZLattice.covolume_eq_det_invproof · cited by 1