Theorems · Theorem · general topology
isEmbedding_iff_isInducing
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [T0Space X] {f : X → Y},
Topology.IsEmbedding f ↔ Topology.IsInducing f- Defined in
- Mathlib.Topology.Separation.Basic
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- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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- TopologicalSpacestatement and proof · cited by 24,529
- Topology.IsEmbeddingstatement · cited by 294
- Topology.IsInducingstatement · cited by 266
- T0Spacestatement and proof · cited by 179
- Topology.IsEmbedding.isInducingproof · cited by 47
- Topology.IsInducing.isEmbeddingproof · cited by 5
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