Mathlib Map

Theorems · Theorem · group theory

AddConstMapClass.map_sub_const

∀ {F : Type u_1} {G : Type u_2} {H : Type u_3} [inst : FunLike F G H] {a : G} {b : H} [inst_1 : AddGroup G]
  [inst_2 : AddGroup H] [AddConstMapClass F G H a b] (f : F) (x : G), f (x - a) = f x - b
Defined in
Mathlib.Algebra.AddConstMap.Basic
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
Assumes
FunLikeAddGroupAddGroupAddConstMapClass
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Around this declaration

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

AddConstMapClass.map_sub_one · cited by 0AddConstMapClass.map_sub_…DFunLike.coe · cited by 62936DFunLike.coeAddGroup · cited by 4410AddGroupFunLike · cited by 2560FunLikeone_smul · cited by 1374one_smulAddConstMapClass · cited by 43AddConstMapClassAddConstMapClass.map_sub_nsmul · cited by 3AddConstMapClass.map_sub_…AddConstMapClass.map_sub_constCITED BYCITES

Cites6

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Cited by1

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