Theorems · Theorem · linear algebra
LinearMap.detAux_id
∀ {M : Type u_2} [inst : AddCommGroup M] {ι : Type u_4} [inst_1 : DecidableEq ι] [inst_2 : Fintype ι] {A : Type u_5}
[inst_3 : CommRing A] [inst_4 : Module A M] (b : Trunc (Module.Basis ι A M)), (LinearMap.detAux b) LinearMap.id = 1- Defined in
- Mathlib.LinearAlgebra.Determinant
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- Module.Basisstatement and proof · cited by 1,477
- LinearMap.idstatement · cited by 625
- Truncstatement and proof · cited by 39
- MonoidHom.map_oneproof · cited by 27
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