Theorems · Theorem · linear algebra
linearIndependent_monoidHom
∀ (G : Type u_6) [inst : MulOneClass G] (L : Type u_7) [inst_1 : CommRing L] [IsDomain L], LinearIndependent L fun f => ⇑f
Dedekind's linear independence of characters
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClassCommRingIsDomain
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Finsetproof · cited by 13,712
- AddCommMonoidproof · cited by 12,281
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- MonoidHomstatement and proof · cited by 3,629
- add_zeroproof · cited by 2,707
- Finset.sum_congrproof · cited by 2,323
- IsDomainstatement and proof · cited by 2,196
- MulZeroClass.mul_zeroproof · cited by 2,091
- mul_assocproof · cited by 1,667
Cited by3
Results whose statement or proof uses this declaration.
- linearIndependent_algHom_toLinearMapproof · cited by 3
- linearIndependent_toLinearMapproof · cited by 2
- groupCohomology.Hilbert90.aux_ne_zeroproof · cited by 1