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Theorems · Definition · general topology

Homeomorph.quotientBot

{X : Type u_1} → [inst : TopologicalSpace X] → Quotient ⊥ ≃ₜ X

The quotient by the trivial relation is homeomorphic to the original space.

Defined in
Mathlib.Topology.Homeomorph.Quotient
Cited by
1 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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