Theorems · Theorem · linear algebra
Module.Basis.singleton_repr
∀ (ι : Type u_7) (R : Type u_8) [inst : Unique ι] [inst_1 : Semiring R] (x : R) (i : ι), ((Module.Basis.singleton ι R).repr x) i = x
- Defined in
- Mathlib.LinearAlgebra.Basis.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Semiringstatement and proof · cited by 13,802
- Finsuppstatement · cited by 5,255
- LinearEquivstatement · cited by 3,317
- Finsupp.singleproof · cited by 943
- Module.Basis.reprstatement · cited by 498
- Uniquestatement and proof · cited by 400
- Finsupp.single_eq_sameproof · cited by 171
- Unique.eq_defaultproof · cited by 38
- Module.Basis.singletonstatement · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- Module.Basis.baseChange_repr_tmulproof · cited by 4
- coevaluation_apply_oneproof · cited by 3
- LinearMap.toMatrix_singletonproof · cited by 1
- ZSpan.coe_floor_selfproof · cited by 0
- ZSpan.coe_fract_selfproof · cited by 0
- OrthonormalBasis.singleton_reprproof · cited by 0