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Theorems · Theorem · group theory

AddConstMapClass.map_nat

∀ {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) (n : ℕ), f ↑n = f 0 + ↑n
Defined in
Mathlib.Algebra.AddConstMap.Basic
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
FunLikeAddMonoidWithOneAddMonoidWithOneAddConstMapClass
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Around this declaration

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

AddConstMapClass.map_ofNat · cited by 0AddConstMapClass.map_ofNatDFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeAddMonoidWithOne · cited by 313AddMonoidWithOneAddConstMapClass · cited by 43AddConstMapClassnsmul_one · cited by 34nsmul_oneAddConstMapClass.map_nat' · cited by 2AddConstMapClass.map_nat'AddConstMapClass.map_natCITED BYCITES

Cites6

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Cited by1

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