Theorems · Theorem · commutative algebra
ModN.basis_apply_eq_mkQ
∀ {G : Type u_1} [inst : AddCommGroup G] {n : ℕ} [inst_1 : NeZero n] {ι : Type u_4} (b : Module.Basis ι ℤ G) (i : ι),
(ModN.basis b) i = (ModN.mkQ n) (b i)- Defined in
- Mathlib.LinearAlgebra.FreeModule.ModN
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroupNeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- AddMonoidHomstatement · cited by 3,230
- Module.Basisstatement and proof · cited by 1,477
- ZModstatement and proof · cited by 1,024
- Finsupp.singleproof · cited by 943
- LinearMap.rangestatement · cited by 893
- Int.cast_oneproof · cited by 371
- Module.Basis.repr_selfproof · cited by 82
- Finsupp.mapRange.linearMapproof · cited by 70
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.