Theorems · Theorem · linear algebra
Matrix.sum_single_ofNat
∀ {m : Type u_2} {α : Type u_7} [inst : DecidableEq m] [inst_1 : AddCommMonoidWithOne α] [inst_2 : Fintype m] (n : ℕ)
[inst_3 : n.AtLeastTwo], ∑ i, Matrix.single i i (OfNat.ofNat n) = OfNat.ofNat n- Defined in
- Mathlib.Data.Matrix.Basis
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Finset.sumstatement · cited by 5,195
- Matrixstatement · cited by 4,303
- Finset.univstatement · cited by 3,473
- Nat.AtLeastTwostatement and proof · cited by 405
- Matrix.singlestatement · cited by 129
- AddCommMonoidWithOnestatement and proof · cited by 42
- Matrix.sum_single_eq_diagonalproof · cited by 4
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