Mathlib Map

Theorems · Theorem · group theory

AddConstMapClass.map_add_ofNat

∀ {F : Type u_1} {G : Type u_2} {H : Type u_3} [inst : FunLike F G H] [inst_1 : AddMonoidWithOne G]
  [inst_2 : AddMonoidWithOne H] [AddConstMapClass F G H 1 1] (f : F) (x : G) (n : ℕ) [inst_4 : n.AtLeastTwo],
  f (x + OfNat.ofNat n) = f x + OfNat.ofNat n
Defined in
Mathlib.Algebra.AddConstMap.Basic
Cited by
0 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
FunLikeAddMonoidWithOneAddMonoidWithOneAddConstMapClassNat.AtLeastTwo
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DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeNat.AtLeastTwo · cited by 405Nat.AtLeastTwoAddMonoidWithOne · cited by 313AddMonoidWithOneAddConstMapClass · cited by 43AddConstMapClassAddConstMapClass.map_add_nat · cited by 1AddConstMapClass.map_add_…AddConstMapClass.map_add_ofNatCITED BYCITES

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