Theorems · Theorem · group theory
AddConstMapClass.map_add_one
∀ {F : Type u_1} {G : Type u_2} {H : Type u_3} [inst : FunLike F G H] {b : H} [inst_1 : AddMonoidWithOne G]
[inst_2 : Add H] [AddConstMapClass F G H 1 b] (f : F) (x : G), f (x + 1) = f x + b- Defined in
- Mathlib.Algebra.AddConstMap.Basic
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- 0 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- AddMonoidWithOnestatement and proof · cited by 313
- AddConstMapClassstatement and proof · cited by 43
- AddConstMapClass.map_add_constproof · cited by 4
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