Theorems · Theorem · linear algebra

Module.bijective_dual_eval

∀ (R : Type u_3) (M : Type u_4) [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [Module.IsReflexive R M], Function.Bijective ⇑(Module.Dual.eval R M)

Defined in: Mathlib.LinearAlgebra.Dual.Defs
Cited by: 4 results in Mathlib
Foundations: Depth 37 from the axioms · uses propext, Quot.sound
Assumes: CommSemiring AddCommMonoid Module Module.IsReflexive

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Cites11

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
Function.Bijectivestatement · cited by 863
Module.Dualstatement · cited by 583
Module.IsReflexivestatement and proof · cited by 58
Module.Dual.evalstatement · cited by 52
Module.IsReflexive.bijective_dual_eval'proof · cited by 1

Cited by5

Results whose statement or proof uses this declaration.

Module.evalEquivproof · cited by 14
Module.dualMap_dualMap_eq_iffproof · cited by 1
Module.equivproof · cited by 0
Module.erange_coeproof · cited by 0
Module.IsReflexive.of_splitproof · cited by 0