Mathlib Map

Theorems · Theorem

Function.Surjective.of_comp_iff

∀ {α : Sort u_1} {β : Sort u_2} {γ : Sort u_3} (f : α → β) {g : γ → α},
  Function.Surjective g → (Function.Surjective (f ∘ g) ↔ Function.Surjective f)
Defined in
Mathlib.Logic.Function.Basic
Cited by
7 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Function.Bijective.of_comp_iff · cited by 22Bijective.of_comp_iffEquivLike.surjective_comp · cited by 2EquivLike.surjective_compModule.Relations.Solution.surjective_fromQuotient_iff_surjective_π · cited by 1Solution.surjective_fromQ…Topology.IsQuotientMap.of_comp_iff · cited by 1IsQuotientMap.of_comp_iffULift.map_surjective · cited by 1ULift.map_surjectiveSet.preimage_surjective · cited by 1Set.preimage_surjectivePLift.map_surjective · cited by 0PLift.map_surjectiveFunction.Surjective.of_comp · cited by 30Surjective.of_compSurjective.of_comp_iffCITED BYCITES

Cites1

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Cited by7

Results whose statement or proof uses this declaration.