Theorems · Theorem · linear algebra
Matrix.mulVecLin_one
∀ {R : Type u_1} [inst : CommSemiring R] {n : Type u_5} [inst_1 : Fintype n] [inst_2 : DecidableEq n],
Matrix.mulVecLin 1 = LinearMap.id- Defined in
- Mathlib.LinearAlgebra.Matrix.ToLin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- one_smulproof · cited by 1,374
- MulOppositeproof · cited by 1,135
- smul_zeroproof · cited by 665
- LinearMap.idstatement · cited by 625
- LinearMap.ext_ringproof · cited by 152
- Pi.single_applyproof · cited by 78
- Matrix.mulVecLinstatement · cited by 38
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.toLin'_oneproof · cited by 6
- Matrix.rank_oneproof · cited by 1