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Theorems · Theorem · linear algebra

Matrix.map_injective

∀ {m : Type u_2} {n : Type u_3} {α : Type v} {β : Type w} {f : α → β},
  Function.Injective f → Function.Injective fun M => M.map f
Defined in
Mathlib.LinearAlgebra.Matrix.Defs
Cited by
5 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Matrix.conjTranspose_injective · cited by 1Matrix.conjTranspose_inje…IsStablyFiniteRing.of_injective · cited by 1IsStablyFiniteRing.of_inj…Matrix.isHermitian_map_iff · cited by 0Matrix.isHermitian_map_iffMatrix.isSymm_map_iff · cited by 0Matrix.isSymm_map_iffMulOpposite.isStablyFiniteRing_iff · cited by 0MulOpposite.isStablyFinit…Matrix · cited by 4303MatrixMatrix.ext · cited by 540Matrix.extMatrix.map · cited by 247Matrix.mapMatrix.ext_iff · cited by 18Matrix.ext_iffMatrix.map_injectiveCITED BYCITES

Cites4

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Cited by5

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