Theorems · Theorem · general topology
TopologicalSpace.NonemptyCompacts.toCompacts_injective
∀ {α : Type u_1} [inst : TopologicalSpace α], Function.Injective TopologicalSpace.NonemptyCompacts.toCompacts- Defined in
- Mathlib.Topology.Sets.Compacts
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpace
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.
- TopologicalSpacestatement and proof · cited by 24,529
- TopologicalSpace.Compactsstatement · cited by 386
- SetLike.coe_injectiveproof · cited by 374
- TopologicalSpace.NonemptyCompactsstatement · cited by 137
- Function.Injective.of_compproof · cited by 82
- TopologicalSpace.NonemptyCompacts.toCompactsstatement · cited by 26
Cited by2
Results whose statement or proof uses this declaration.
- TopologicalSpace.NonemptyCompacts.isEmbedding_toCompactsproof · cited by 12
- TopologicalSpace.NonemptyCompacts.isUniformEmbedding_toCompactsproof · cited by 2