Theorems · Theorem · commutative algebra

DividedPowerAlgebra.LinearEquiv.coe_lift_symm

∀ {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {N : Type u_5}
  [inst_3 : AddCommMonoid N] [inst_4 : Module R N] (g : M ≃ₗ[R] N),
  ↑(DividedPowerAlgebra.mapEquiv g).symm = DividedPowerAlgebra.map R ↑g.symm

Defined in: Mathlib.RingTheory.DividedPowerAlgebra.Init
Cited by: 0 results in Mathlib
Foundations: Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring AddCommMonoid Module AddCommMonoid Module

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites16

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 and proof · cited by 18,349
AddCommMonoidstatement and proof · cited by 12,281
CommSemiringstatement and proof · cited by 10,911
Finsuppstatement · cited by 5,255
LinearEquivstatement and proof · cited by 3,317
AlgHomstatement · cited by 3,236
MvPolynomialstatement · cited by 2,140
LinearEquiv.symmstatement · cited by 1,461
LinearEquiv.toLinearMapstatement · cited by 1,171
AlgEquiv.symmstatement · cited by 615
AlgEquiv.toAlgHomstatement · cited by 273

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.