Theorems · Theorem · linear algebra
Matrix.scalar_inj
∀ {n : Type u_3} {α : Type u_11} [inst : Semiring α] [inst_1 : DecidableEq n] [inst_2 : Fintype n] [Nonempty n]
{r s : α}, (Matrix.scalar n) r = (Matrix.scalar n) s ↔ r = s- Defined in
- Mathlib.Data.Matrix.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Matrix.scalarstatement · cited by 62
- Matrix.diagonal_injectiveproof · cited by 6
- Function.const_injectiveproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.isParabolic_iff_existsproof · cited by 1