Theorems · Theorem · linear algebra
Matrix.isUnit_comp_iff
∀ (I : Type u_1) (J : Type u_2) (R : Type u_5) [inst : Semiring R] [inst_1 : Fintype I] [inst_2 : Fintype J]
[inst_3 : DecidableEq I] [inst_4 : DecidableEq J] {M : Matrix I I (Matrix J J R)},
IsUnit ((Matrix.comp I I J J R) M) ↔ IsUnit M- Defined in
- Mathlib.Data.Matrix.Composition
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- IsUnitstatement · cited by 1,602
- Matrix.compstatement · cited by 38
- isUnit_map_iffproof · cited by 17
- Matrix.compAlgEquivproof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.