Theorems · Theorem · general topology

Topology.IsCoinducing.comp

∀ {X : Type u_1} {Y : Type u_2} {Z : Type u_3} {f : X → Y} {g : Y → Z} [inst : TopologicalSpace X]
  [inst_1 : TopologicalSpace Y] [inst_2 : TopologicalSpace Z],
  Topology.IsCoinducing g → Topology.IsCoinducing f → Topology.IsCoinducing (g ∘ f)

Defined in: Mathlib.Topology.Maps.Basic
Cited by: 3 results in Mathlib
Foundations: Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace TopologicalSpace TopologicalSpace

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Cites5

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.coinducedproof · cited by 56
Topology.IsCoinducingstatement and proof · cited by 31
Topology.IsCoinducing.eq_coinducedproof · cited by 9
coinduced_composeproof · cited by 6

Cited by3

Results whose statement or proof uses this declaration.

Topology.IsQuotientMap.compproof · cited by 8
Topology.IsCoinducing.of_comp_iffproof · cited by 3
Topology.IsCoinducing.connectedComponentsMapproof · cited by 0