AffineBasis.isUnit_toMatrix
∀ {ι : Type u₁} {k : Type u₂} {V : Type u₃} {P : Type u₄} [inst : AddCommGroup V] [inst_1 : AddTorsor V P]
[inst_2 : Ring k] [inst_3 : Module k V] (b : AffineBasis ι k P) [inst_4 : Fintype ι] (b₂ : AffineBasis ι k P)
[inst_5 : DecidableEq ι], IsUnit (b.toMatrix ⇑b₂)- Defined in
- Mathlib.LinearAlgebra.AffineSpace.Matrix
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- AddCommGroupstatement and proof · cited by 12,871
- Fintypestatement and proof · cited by 7,736
- Ringstatement and proof · cited by 7,463
- Matrixstatement · cited by 4,303
- AddTorsorstatement and proof · cited by 1,657
- IsUnitstatement · cited by 1,602
- AffineBasisstatement and proof · cited by 65
- AffineBasis.toMatrixstatement and proof · cited by 11
- AffineBasis.toMatrix_mul_toMatrixproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- AffineBasis.toMatrix_inv_vecMul_toMatrixproof · cited by 1
- AffineBasis.isUnit_toMatrix_iffproof · cited by 0
- AffineBasis.det_smul_coords_eq_cramer_coordsproof · cited by 0