Mathlib Map

Theorems · Theorem · group theory

AddConstMapClass.map_const_add

∀ {F : Type u_1} {G : Type u_2} {H : Type u_3} [inst : FunLike F G H] {a : G} {b : H} [inst_1 : AddCommMagma G]
  [inst_2 : Add H] [AddConstMapClass F G H a b] (f : F) (x : G), f (a + x) = f x + b
Defined in
Mathlib.Algebra.AddConstMap.Basic
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
FunLikeAddCommMagmaAddAddConstMapClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AddConstMapClass.map_one_add · cited by 0AddConstMapClass.map_one_…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeadd_comm · cited by 1535add_commAddConstMapClass · cited by 43AddConstMapClassAddCommMagma · cited by 32AddCommMagmaAddConstMapClass.map_add_const · cited by 4AddConstMapClass.map_add_…AddConstMapClass.map_const_addCITED BYCITES

Cites6

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.