Theorems · Theorem · dynamical systems
CircleDeg1Lift.map_lt_add_floor_translationNumber_add_one
∀ (f : CircleDeg1Lift) (x : ℝ), f x < x + ↑⌊f.translationNumber⌋ + 1
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Nat.cast_oneproof · cited by 2,501
- add_assocproof · cited by 746
- Int.cast_oneproof · cited by 371
- Int.floorstatement and proof · cited by 225
- CircleDeg1Liftstatement and proof · cited by 128
- Int.cast_addproof · cited by 124
- CircleDeg1Lift.translationNumberstatement and proof · cited by 48
- Int.lt_floor_add_oneproof · cited by 12
- CircleDeg1Lift.map_lt_of_translationNumber_lt_intproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.map_lt_add_translationNumber_add_oneproof · cited by 1