Theorems · Theorem · general topology
unitInterval.add_pos
∀ {t : ↑unitInterval} {x : ℝ}, 0 < x → 0 < x + ↑t- Defined in
- Mathlib.Topology.UnitInterval
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 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.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- unitIntervalstatement and proof · cited by 607
- add_pos_of_pos_of_nonnegproof · cited by 63
- unitInterval.nonnegproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- unitInterval.continuous_qRightproof · cited by 1
- unitInterval.qRight_one_leftproof · cited by 0