Theorems · Theorem · linear algebra

Module.mapEvalEquiv_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 M),
  (Module.mapEvalEquiv R M) W = Submodule.map (Module.Dual.eval R M) W

Defined in: Mathlib.LinearAlgebra.Dual.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring AddCommMonoid Module Module.IsReflexive

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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
Submodule.mapstatement · cited by 614
Module.Dualstatement · cited by 583
Module.IsReflexivestatement and proof · cited by 58
Module.Dual.evalstatement · cited by 52
Module.mapEvalEquivstatement · cited by 3

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