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Theorems · Theorem · linear algebra

Matrix.map_intCast

∀ {n : Type u_3} {α : Type v} {β : Type w} [inst : DecidableEq n] [inst_1 : AddGroupWithOne α] [inst_2 : Zero β]
  {f : α → β}, f 0 = 0 → ∀ (d : ℤ), (↑d).map f = Matrix.diagonal fun x => f ↑d
Defined in
Mathlib.Data.Matrix.Diagonal
Cited by
2 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
DecidableEqAddGroupWithOneZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.conjTranspose_intCast · cited by 2Matrix.conjTranspose_intC…Matrix.map_intCast_star · cited by 1Matrix.map_intCast_starMatrix · cited by 4303MatrixMatrix.diagonal · cited by 314Matrix.diagonalMatrix.map · cited by 247Matrix.mapAddGroupWithOne · cited by 111AddGroupWithOneMatrix.diagonal_map · cited by 15Matrix.diagonal_mapMatrix.map_intCastCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.