Theorems · Theorem · linear algebra
Matrix.SemiconjBy.zpow_right
∀ {n' : Type u_1} [inst : DecidableEq n'] [inst_1 : Fintype n'] {R : Type u_2} [inst_2 : CommRing R]
{A X Y : Matrix n' n' R}, IsUnit X.det → IsUnit Y.det → SemiconjBy A X Y → ∀ (m : ℤ), SemiconjBy A (X ^ m) (Y ^ m)- Defined in
- Mathlib.LinearAlgebra.Matrix.ZPow
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Units.valproof · cited by 1,966
- mul_assocproof · cited by 1,667
- IsUnitstatement and proof · cited by 1,602
- one_smulproof · cited by 1,374
- Matrix.detstatement and proof · cited by 665
- smul_smulproof · cited by 360
- zpow_natCastproof · cited by 271
- IsUnit.unitproof · cited by 252
- SemiconjBystatement and proof · cited by 99
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.Commute.zpow_rightproof · cited by 3