Theorems · Theorem · linear algebra
Matrix.range_toLin_eq_top
∀ {n : Type u_1} [inst : Fintype n] {R : Type u_2} {M : Type u_3} [inst_1 : CommRing R] [inst_2 : AddCommGroup M]
[inst_3 : Module R M] (b : Module.Basis n R M) [inst_4 : DecidableEq n] (A : Matrix n n R),
IsUnit A.det → ((Matrix.toLin b b) A).range = ⊤- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Top.topstatement · cited by 9,680
- Fintypestatement and proof · cited by 7,736
- Submodulestatement · cited by 7,192
- Matrixstatement and proof · cited by 4,303
- LinearEquivstatement · cited by 3,317
- IsUnitstatement and proof · cited by 1,602
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