Theorems · Theorem · linear algebra
Matrix.isUnit_toLin_iff
∀ {R : Type u_1} [inst : CommSemiring R] {n : Type u_4} [inst_1 : Fintype n] [inst_2 : DecidableEq n] {M₁ : Type u_5}
[inst_3 : AddCommMonoid M₁] [inst_4 : Module R M₁] (v₁ : Module.Basis n R M₁) {M : Matrix n n R},
IsUnit ((Matrix.toLin v₁ v₁) M) ↔ IsUnit M- Defined in
- Mathlib.LinearAlgebra.Matrix.ToLin
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- LinearEquivstatement · cited by 3,317
- IsUnitstatement · cited by 1,602
- Module.Basisstatement and proof · cited by 1,477
- AlgEquiv.symmproof · cited by 615
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