Theorems · Theorem · linear algebra
mulLeftLinearMap_one
∀ {m : Type u_2} {n : Type u_3} {R : Type u_5} {A : Type u_6} [inst : Fintype m] [inst_1 : DecidableEq m]
[inst_2 : Semiring R] [inst_3 : Semiring A] [inst_4 : Module R A] [inst_5 : SMulCommClass R A A],
mulLeftLinearMap n R 1 = LinearMap.idA version of LinearMap.mulLeft_one for matrix multiplication.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Bilinear
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- SMulCommClassstatement and proof · cited by 1,927
- LinearMap.extproof · cited by 844
- LinearMap.idstatement · cited by 625
- Matrix.one_mulproof · cited by 30
- mulLeftLinearMapstatement · cited by 9
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