Theorems · Theorem · linear algebra
Module.mapEvalEquiv_symm_apply
∀ (R : Type u_3) (M : Type u_4) [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] [inst_3 : Module.IsReflexive R M] (W'' : Submodule R (Module.Dual R (Module.Dual R M))), (Module.mapEvalEquiv R M).symm W'' = Submodule.comap (Module.Dual.eval R M) W''
- Defined in
- Mathlib.LinearAlgebra.Dual.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Submodulestatement and proof · cited by 7,192
- OrderIsostatement · cited by 874
- Module.Dualstatement and proof · cited by 583
- OrderIso.symmstatement · cited by 475
- Submodule.comapstatement · cited by 347
- Module.IsReflexivestatement and proof · cited by 58
- Module.Dual.evalstatement · cited by 52
Cited by1
Results whose statement or proof uses this declaration.
- Subspace.dualAnnihilator_dualAnnihilator_eqproof · cited by 0