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Theorems · Theorem · linear algebra

Matrix.conjTranspose_inv_ofNat_smul

∀ {m : Type u_2} {n : Type u_3} {R : Type u_7} {α : Type v} [inst : DivisionSemiring R] [inst_1 : AddCommMonoid α]
  [inst_2 : StarAddMonoid α] [inst_3 : Module R α] (c : ℕ) [inst_4 : c.AtLeastTwo] (M : Matrix m n α),
  ((OfNat.ofNat c)⁻¹ • M).conjTranspose = (OfNat.ofNat c)⁻¹ • M.conjTranspose
Defined in
Mathlib.LinearAlgebra.Matrix.ConjTranspose
Cited by
0 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionSemiringAddCommMonoidStarAddMonoidModuleNat.AtLeastTwo
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Module · cited by 20661ModuleAddCommMonoid · cited by 12281AddCommMonoidMatrix · cited by 4303MatrixNat.AtLeastTwo · cited by 405Nat.AtLeastTwoStarAddMonoid · cited by 296StarAddMonoidDivisionSemiring · cited by 216DivisionSemiringMatrix.conjTranspose · cited by 202Matrix.conjTransposeMatrix.conjTranspose_inv_natCast_smul · cited by 1Matrix.conjTranspose_inv_…Matrix.conjTranspose_inv_ofNa…CITED BYCITES

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