Theorems · Theorem · general topology
TopologicalSpace.NonemptyCompacts.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
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- Continuousstatement · cited by 2,592
- SProd.sprodstatement and proof · cited by 1,750
- continuous_id'proof · cited by 295
- Continuous.comp'proof · cited by 184
- TopologicalSpace.NonemptyCompactsstatement and proof · cited by 137
- Continuous.prodMkproof · cited by 127
- Continuous.sndproof · cited by 77
- Continuous.fstproof · cited by 73
- Topology.IsEmbedding.continuous_iffproof · cited by 21
- TopologicalSpace.NonemptyCompacts.isEmbedding_toCompactsproof · cited by 12
- TopologicalSpace.NonemptyCompacts.continuous_toCompactsproof · cited by 8
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