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Theorems · Theorem · category theory

uliftZMultiplesHom_apply_apply

∀ (G : Type u) [inst : AddGroup G] (a : G) (x : ULift.{u, 0} ℤ), ((uliftZMultiplesHom G) a) x = AddEquiv.ulift x • a
Defined in
Mathlib.Algebra.Category.Grp.ForgetCorepresentable
Cited by
1 results in Mathlib
Foundations
Depth 44 from the axioms · uses propext, Quot.sound
Assumes
AddGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

uliftZMultiplesHom_apply_add · cited by 0uliftZMultiplesHom_apply_…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivAddGroup · cited by 4410AddGroupAddMonoidHom · cited by 3230AddMonoidHomAddEquiv · cited by 1087AddEquivAddEquiv.ulift · cited by 16AddEquiv.uliftuliftZMultiplesHom · cited by 4uliftZMultiplesHomuliftZMultiplesHom_apply_applyCITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.