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Theorems · Theorem · linear algebra

Matrix.map_zero

∀ {m : Type u_2} {n : Type u_3} {α : Type v} {β : Type w} [inst : Zero α] [inst_1 : Zero β] (f : α → β),
  f 0 = 0 → Matrix.map 0 f = 0
Defined in
Mathlib.LinearAlgebra.Matrix.Defs
Cited by
4 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
ZeroZero
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Around this declaration

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

Matrix.charpoly_fromBlocks_zero₁₂ · cited by 1Matrix.charpoly_fromBlock…Matrix.charmatrix_zero · cited by 1Matrix.charmatrix_zeroMatrix.map_J · cited by 1Matrix.map_JMatrix.charpoly_fromBlocks_zero₂₁ · cited by 0Matrix.charpoly_fromBlock…Matrix · cited by 4303MatrixMatrix.ext · cited by 540Matrix.extMatrix.map · cited by 247Matrix.mapMatrix.map_zeroCITED BYCITES

Cites3

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Cited by4

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