Theorems · Theorem · general topology
coinduced_compose
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [tα : TopologicalSpace α] {f : α → β} {g : β → γ},
TopologicalSpace.coinduced g (TopologicalSpace.coinduced f tα) = TopologicalSpace.coinduced (g ∘ f) tα- Defined in
- Mathlib.Topology.Order
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.coinducedstatement · cited by 56
- TopologicalSpace.extproof · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- continuous_coinduced_domproof · cited by 13
- Topology.IsQuotientMap.continuous_iffproof · cited by 10
- RestrictedProduct.continuous_inclusionproof · cited by 8
- Topology.IsCoinducing.compproof · cited by 3
- IsClosed.isClopenableproof · cited by 1
- Topology.IsCoinducing.of_compproof · cited by 1