Theorems · Definition · linear algebra
Matrix.Nondegenerate.casesOn
{m : Type u_1} →
{n : Type u_2} →
{R : Type u_3} →
[inst : NonUnitalNonAssocSemiring R] →
[inst_1 : Finite m] →
[inst_2 : Finite n] →
{M : Matrix m n R} →
{motive : M.Nondegenerate → Sort u} →
(t : M.Nondegenerate) →
((separatingLeft : M.SeparatingLeft) → (separatingRight : M.SeparatingRight) → motive ⋯) → motive t- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement and proof · cited by 4,303
- Finitestatement and proof · cited by 3,029
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Matrix.Nondegeneratestatement and proof · cited by 49
- Matrix.SeparatingRightstatement and proof · cited by 35
- Matrix.SeparatingLeftstatement and proof · cited by 33
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.nondegenerate_iffproof · cited by 2