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Theorems · Theorem · linear algebra

Matrix.ofNat_apply

∀ {n : Type u_3} {α : Type v} [inst : DecidableEq n] [inst_1 : AddMonoidWithOne α] {i j : n} {d : ℕ}
  [inst_2 : d.AtLeastTwo], (OfNat.ofNat d) i j = ↑(if i = j then d else 0)
Defined in
Mathlib.Data.Matrix.Diagonal
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses Quot.sound
Assumes
DecidableEqAddMonoidWithOneNat.AtLeastTwo
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Around this declaration

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

RootPairing.Base.cartanMatrix_map_abs · cited by 0Base.cartanMatrix_map_absMatrix · cited by 4303MatrixNat.AtLeastTwo · cited by 405Nat.AtLeastTwoAddMonoidWithOne · cited by 313AddMonoidWithOneMatrix.natCast_apply · cited by 1Matrix.natCast_applyMatrix.ofNat_applyCITED BYCITES

Cites4

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Cited by1

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