Theorems · Theorem · linear algebra
Module.Basis.eval_range
∀ {R : Type uR} {M : Type uM} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {ι : Type u_1}
[Finite ι] (b : Module.Basis ι R M), (Module.Dual.eval R M).range = ⊤- Defined in
- Mathlib.LinearAlgebra.Dual.Basis
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapproof · cited by 10,215
- Top.topstatement and proof · cited by 9,680
- Fintypeproof · cited by 7,736
- Submodulestatement and proof · cited by 7,192
- Finitestatement and proof · cited by 3,029
- Module.Basisstatement and proof · cited by 1,477
- LinearMap.rangestatement and proof · cited by 893
- Submodule.mapproof · cited by 614
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