Theorems · Theorem · dynamical systems
CircleDeg1Lift.map_fract_sub_fract_eq
∀ (f : CircleDeg1Lift) (x : ℝ), f (Int.fract x) - Int.fract x = f x - x
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Int.floorproof · cited by 225
- CircleDeg1Liftstatement and proof · cited by 128
- Int.fractstatement · cited by 114
- sub_sub_sub_cancel_rightproof · cited by 34
- CircleDeg1Lift.map_sub_intproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.forall_map_sub_of_Iccproof · cited by 2