Theorems · Theorem · linear algebra
Module.Dual.eval_apply
∀ (R : Type u_1) (M : Type u_3) [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (v : M) (a : Module.Dual R M), ((Module.Dual.eval R M) v) a = a v
- Defined in
- Mathlib.LinearAlgebra.Dual.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- LinearMapstatement · cited by 10,215
- Module.Dualstatement and proof · cited by 583
- Module.Dual.evalstatement · cited by 52
Cited by2
Results whose statement or proof uses this declaration.
- Module.apply_evalEquiv_symm_applyproof · cited by 4
- Module.Basis.toDual_toDualproof · cited by 1