Theorems · Definition · linear algebra
IsStablyFiniteRing.casesOn
{R : Type u_10} →
[inst : MulOne R] →
[inst_1 : AddCommMonoid R] →
{motive : IsStablyFiniteRing R → Sort u} →
(t : IsStablyFiniteRing R) →
((isDedekindFiniteMonoid : ∀ (n : ℕ), IsDedekindFiniteMonoid (Matrix (Fin n) (Fin n) R)) → motive ⋯) →
motive t- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Matrixstatement and proof · cited by 4,303
- MulOnestatement and proof · cited by 65
- IsDedekindFiniteMonoidstatement and proof · cited by 23
- IsStablyFiniteRingstatement and proof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- isStablyFiniteRing_iffproof · cited by 0