Theorems · Theorem · linear algebra
Module.DualBases.coe_basis
∀ {R : Type u_1} {M : Type u_2} {ι : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
{e : ι → M} {ε : ι → Module.Dual R M} (h : Module.DualBases e ε), ⇑h.basis = e- Defined in
- Mathlib.LinearAlgebra.Dual.Basis
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Module.Basisstatement · cited by 1,477
- eq_or_neproof · cited by 1,117
- Module.Dualstatement and proof · cited by 583
- Finsupp.extproof · cited by 399
- Finsupp.single_eq_sameproof · cited by 171
- Finsupp.single_eq_of_ne'proof · cited by 36
- Module.DualBasesstatement and proof · cited by 15
- Module.Basis.apply_eq_iffproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Module.DualBases.coe_dualBasisproof · cited by 0