Theorems · Theorem · dynamical systems
CircleDeg1Lift.map_lt_add_translationNumber_add_one
∀ (f : CircleDeg1Lift) (x : ℝ), f x < x + f.translationNumber + 1
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- le_reflproof · cited by 2,061
- add_le_addproof · cited by 666
- CircleDeg1Liftstatement and proof · cited by 128
- CircleDeg1Lift.translationNumberstatement and proof · cited by 48
- Int.floor_leproof · cited by 30
- CircleDeg1Lift.map_lt_add_floor_translationNumber_add_oneproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.semiconj_of_group_action_of_forall_translationNumber_eqproof · cited by 1