Theorems · Theorem · linear algebra
Module.Basis.toDual_range
∀ {R : Type uR} {M : Type uM} {ι : Type uι} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
[inst_3 : DecidableEq ι] (b : Module.Basis ι R M) [Finite ι], b.toDual.range = ⊤- Defined in
- Mathlib.LinearAlgebra.Dual.Basis
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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 · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Top.topstatement · cited by 9,680
- Submodulestatement · cited by 7,192
- Equiv.symmproof · cited by 3,681
- Finitestatement and proof · cited by 3,029
- Module.Basisstatement and proof · cited by 1,477
- LinearMap.rangestatement · cited by 893
- Module.Dualstatement and proof · cited by 583
Cited by1
Results whose statement or proof uses this declaration.
- Module.Basis.eval_rangeproof · cited by 0