Theorems · Theorem · linear algebra

Module.evalEquiv_toLinearMap

∀ (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], ↑(Module.evalEquiv R M) = Module.Dual.eval R M

Defined in: Mathlib.LinearAlgebra.Dual.Defs
Cited by: 2 results in Mathlib
Foundations: Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring AddCommMonoid Module Module.IsReflexive

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Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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
LinearEquiv.toLinearMapstatement · cited by 1,171
Module.Dualstatement · cited by 583
Module.IsReflexivestatement and proof · cited by 58
Module.Dual.evalstatement · cited by 52
Module.evalEquivstatement · cited by 14

Cited by2

Results whose statement or proof uses this declaration.

Subspace.finrank_dualCoannihilator_eqproof · cited by 1
Module.Dual.eval_comp_comp_evalEquiv_eqproof · cited by 0