Theorems · Theorem · linear algebra
Matrix.exp_zsmul
∀ {m : Type u_1} {𝔸 : Type u_5} [inst : Fintype m] [inst_1 : DecidableEq m] [inst_2 : NormedCommRing 𝔸]
[NormedAlgebra ℚ 𝔸] [CompleteSpace 𝔸] (z : ℤ) (A : Matrix m m 𝔸), NormedSpace.exp (z • A) = NormedSpace.exp A ^ z- Cited by
- 0 results in Mathlib
- Foundations
- Depth 240 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- CompleteSpacestatement and proof · cited by 2,532
- IsUnitproof · cited by 1,602
- NormedAlgebrastatement and proof · cited by 1,165
- Matrix.detproof · cited by 665
- neg_smulproof · cited by 306
- zpow_natCastproof · cited by 271
- NormedCommRingstatement and proof · cited by 218
- NormedSpace.expstatement and proof · cited by 157
- natCast_zsmulproof · cited by 118
- Matrix.isUnit_iff_isUnit_detproof · cited by 12
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