Theorems · Theorem · linear algebra
Module.Basis.equivFun_ofEquivFun
∀ {ι : Type u_1} {R : Type u_3} {M : Type u_6} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
[inst_3 : Finite ι] (e : M ≃ₗ[R] ι → R), (Module.Basis.ofEquivFun e).equivFun = e- Defined in
- Mathlib.LinearAlgebra.Basis.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearEquivstatement and proof · cited by 3,317
- Finitestatement and proof · cited by 3,029
- Module.Basis.equivFunstatement · cited by 88
- LinearEquiv.extproof · cited by 72
- Module.Basis.ofEquivFunstatement · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- OrthonormalBasis.coe_toBasis_reprproof · cited by 3
- Pi.basisFun_equivFunproof · cited by 1
- PiLp.basisFun_equivFunproof · cited by 0