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Theorems · Theorem · group theory

Even.map

∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : AddZeroClass α] [inst_1 : AddZeroClass β]
  [inst_2 : FunLike F α β] [AddMonoidHomClass F α β] {a : α} (f : F), Even a → Even (f a)
Defined in
Mathlib.Algebra.Group.Even
Cited by
3 results in Mathlib
Foundations
Depth 6 from the axioms · uses propext
Assumes
AddZeroClassAddZeroClassFunLikeAddMonoidHomClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

even_neg · cited by 4even_negEven.natCast · cited by 2Even.natCastEven.intCast · cited by 0Even.intCastDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeAddZeroClass · cited by 1237AddZeroClassmap_add · cited by 964map_addEven · cited by 444EvenAddMonoidHomClass · cited by 252AddMonoidHomClassEven.mapCITED BYCITES

Cites6

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

Cited by3

Results whose statement or proof uses this declaration.