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Theorems · Theorem · general topology

DiscreteQuotient.comap_comp

∀ {X : Type u_2} {Y : Type u_3} {Z : Type u_4} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] (g : C(Y, Z)) (f : C(X, Y)) (S : DiscreteQuotient Z),
  DiscreteQuotient.comap (g.comp f) S = DiscreteQuotient.comap f (DiscreteQuotient.comap g S)
Defined in
Mathlib.Topology.DiscreteQuotient
Cited by
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Foundations
Depth 17 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpaceTopologicalSpace
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TopologicalSpace · cited by 24529TopologicalSpaceContinuousMap · cited by 2491ContinuousMapContinuousMap.comp · cited by 181ContinuousMap.compDiscreteQuotient · cited by 65DiscreteQuotientDiscreteQuotient.comap · cited by 3DiscreteQuotient.comapDiscreteQuotient.comap_compCITED BYCITES

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