Theorems · Theorem · general topology
TopologicalSpace.Compacts.continuous_prod
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β],
Continuous fun p => p.1 ×ˢ p.2- Defined in
- Mathlib.Topology.Sets.VietorisTopology
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coeproof · cited by 8,199
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- LE.le.transproof · cited by 3,151
- Set.Nonemptyproof · cited by 2,627
- Continuousstatement · cited by 2,592
- IsOpenproof · cited by 2,400
- le_reflproof · cited by 2,061
- SProd.sprodstatement and proof · cited by 1,750
Cited by2
Results whose statement or proof uses this declaration.
- Continuous.compacts_map'proof · cited by 1
- TopologicalSpace.NonemptyCompacts.continuous_prodproof · cited by 0