Theorems · Theorem · group theory
AddConstMapClass.map_fract
∀ {F : Type u_1} {H : Type u_3} {b : H} {R : Type u_4} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R]
[inst_3 : AddGroup H] [inst_4 : FunLike F R H] [AddConstMapClass F R H 1 b] (f : F) (x : R),
f (Int.fract x) = f x - ⌊x⌋ • b- Defined in
- Mathlib.Algebra.AddConstMap.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- LinearOrderstatement and proof · cited by 8,572
- Ringstatement and proof · cited by 7,463
- AddGroupstatement and proof · cited by 4,410
- FunLikestatement and proof · cited by 2,560
- FloorRingstatement and proof · cited by 405
- Int.floorstatement and proof · cited by 225
- Int.fractstatement · cited by 114
- AddConstMapClassstatement and proof · cited by 43
- AddConstMapClass.map_sub_int'proof · cited by 2
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