Theorems · Theorem · general topology
unitInterval.two_mul_sub_one_mem_iff
∀ {t : ℝ}, 2 * t - 1 ∈ unitInterval ↔ t ∈ Set.Icc (1 / 2) 1- Defined in
- Mathlib.Topology.UnitInterval
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 110 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.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Set.Iccstatement and proof · cited by 1,702
- unitIntervalstatement and proof · cited by 607
- le_of_not_gtproof · cited by 430
Cited by15
Results whose statement or proof uses this declaration.
- Path.trans_applystatement and proof · cited by 9
- Path.trans_symmproof · cited by 3
- ContinuousMap.Homotopy.symm_transproof · cited by 3
- ContinuousMap.Homotopy.trans_applystatement and proof · cited by 3
- IsLocalHomeomorph.existsUnique_continuousMap_liftsproof · cited by 2
- Path.delayReflRight_zeroproof · cited by 1
- Path.map_transproof · cited by 1
- IsCoveringMap.liftPath_transproof · cited by 1
- ContinuousMap.HomotopyRel.trans_applystatement · cited by 1
- Path.uniformContinuous_transproof · cited by 0
- Path.Homotopy.hcomp_applystatement and proof · cited by 0
- ContinuousMap.HomotopyWith.trans_applystatement · cited by 0