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Theorems · Theorem · group theory

Matrix.GeneralLinearGroup.coe_scalar

∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : Semiring R] (u : Rˣ),
  ↑((Matrix.GeneralLinearGroup.scalar n) u) = (Matrix.scalar n) ↑u
Defined in
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs
Cited by
1 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqFintypeSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.GeneralLinearGroup.scalar_commute · cited by 0GeneralLinearGroup.scalar…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringRingHom · cited by 10189RingHomFintype · cited by 7736FintypeMatrix · cited by 4303MatrixMonoidHom · cited by 3629MonoidHomUnits · cited by 2804UnitsUnits.val · cited by 1966Units.valMatrix.GeneralLinearGroup · cited by 556Matrix.GeneralLinearGroupMatrix.scalar · cited by 62Matrix.scalarMatrix.GeneralLinearGroup.scalar · cited by 18GeneralLinearGroup.scalarGeneralLinearGroup.coe_scalarCITED BYCITES

Cites11

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Cited by1

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