Mathlib Map

Theorems · Inductive type · dynamical systems

CircleDeg1Lift

Type

A lift of a monotone degree one map S¹ → S¹.

Defined in
Mathlib.Dynamics.Circle.RotationNumber.TranslationNumber
Cited by
128 results in Mathlib
Foundations
Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CircleDeg1Lift.translationNumber · cited by 48CircleDeg1Lift.translatio…CircleDeg1Lift.monotone · cited by 11CircleDeg1Lift.monotoneCircleDeg1Lift.commute_add_int · cited by 9CircleDeg1Lift.commute_ad…CircleDeg1Lift.translate · cited by 9CircleDeg1Lift.translateCircleDeg1Lift.transnumAuxSeq · cited by 6CircleDeg1Lift.transnumAu…CircleDeg1Lift.coe_pow · cited by 6CircleDeg1Lift.coe_powCircleDeg1Lift.toOrderIso · cited by 5CircleDeg1Lift.toOrderIsoCircleDeg1Lift.translationNumber_le_of_le_add_int · cited by 4CircleDeg1Lift.translatio…CircleDeg1Lift.translationNumber_pow · cited by 4CircleDeg1Lift.translatio…CircleDeg1Lift.le_translationNumber_of_add_int_le · cited by 4CircleDeg1Lift.le_transla…CircleDeg1Lift.dist_map_map_zero_lt · cited by 3CircleDeg1Lift.dist_map_m…CircleDeg1Lift.le_map_map_zero · cited by 3CircleDeg1Lift.le_map_map…CircleDeg1Lift.map_add_one · cited by 3CircleDeg1Lift.map_add_oneCircleDeg1Lift.map_map_zero_le · cited by 3CircleDeg1Lift.map_map_ze…CircleDeg1Lift.tendsto_translationNumber_aux · cited by 3CircleDeg1Lift.tendsto_tr…CircleDeg1LiftCITED BYCITES

Cites0

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Cited by139

Results whose statement or proof uses this declaration.