Theorems · Theorem · general topology
unitInterval.symm_symm
∀ (x : ↑unitInterval), unitInterval.symm (unitInterval.symm x) = x
- Defined in
- Mathlib.Topology.UnitInterval
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- unitIntervalstatement and proof · cited by 607
- Subtype.coe_etaproof · cited by 110
- sub_sub_cancelproof · cited by 105
- unitInterval.symmstatement and proof · cited by 69
Cited by9
Results whose statement or proof uses this declaration.
- unitInterval.symmMeasurableEquivproof · cited by 4
- ContinuousMap.Homotopy.symm_symmproof · cited by 3
- unitInterval.symm_involutiveproof · cited by 2
- unitInterval.symmHomeomorphproof · cited by 2
- unitInterval.symm_le_commproof · cited by 0
- unitInterval.symm_lt_commproof · cited by 0
- unitInterval.le_symm_commproof · cited by 0
- unitInterval.lt_symm_commproof · cited by 0
- Set.Icc.convexComb_assoc'proof · cited by 0