Theorems · Theorem · dynamical systems
CircleDeg1Lift.dist_map_map_zero_lt
∀ (f g : CircleDeg1Lift), dist (f 0 + g 0) (f (g 0)) < 1
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Dist.diststatement · cited by 1,539
- sub_eq_add_negproof · cited by 1,023
- dist_commproof · cited by 188
- CircleDeg1Liftstatement and proof · cited by 128
- abs_ltproof · cited by 43
- sub_lt_iff_lt_add'proof · cited by 30
- Real.dist_eqproof · cited by 27
- lt_sub_iff_add_lt'proof · cited by 14
- CircleDeg1Lift.map_map_zero_ltproof · cited by 1
- CircleDeg1Lift.lt_map_map_zeroproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- CircleDeg1Lift.transnumAuxSeq_dist_ltproof · cited by 2
- CircleDeg1Lift.dist_map_zero_lt_of_semiconjproof · cited by 1
- CircleDeg1Lift.translationNumber_mul_of_commuteproof · cited by 1