Theorems · Theorem · general topology
continuous_bot
∀ {α : Type u} {β : Type v} {f : α → β} {t : TopologicalSpace β}, Continuous f- Defined in
- Mathlib.Topology.Order
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Bot.botstatement · cited by 4,720
- Continuousstatement · cited by 2,592
- bot_leproof · cited by 306
- continuous_iff_le_inducedproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.analyticSet_iff_exists_polishSpace_rangeproof · cited by 4
- Profinite.NobelingProof.continuous_swapTrueproof · cited by 2