Theorems · Theorem · linear algebra
Matrix.natCast_apply
∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : AddMonoidWithOne α] {i j : n} {d : ℕ},
↑d i j = ↑(if i = j then d else 0)- Defined in
- Mathlib.Data.Matrix.Diagonal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
- Assumes
- DecidableEqAddMonoidWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement and proof · cited by 4,303
- Nat.cast_zeroproof · cited by 1,870
- AddMonoidWithOnestatement and proof · cited by 313
- Nat.cast_iteproof · cited by 16
- Matrix.diagonal_applyproof · cited by 5
- Matrix.diagonal_natCastproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.ofNat_applyproof · cited by 1