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Theorems · Theorem · order theory

Set.SurjOn.subset_range

∀ {α : Type u_1} {β : Type u_2} {s : Set α} {t : Set β} {f : α → β}, Set.SurjOn f s t → t ⊆ Set.range f
Defined in
Mathlib.Data.Set.Function
Cited by
6 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Set.BijOn.subset_range · cited by 2BijOn.subset_rangeReal.range_sin · cited by 1Real.range_sinTopology.IsOpenEmbedding.prespectralSpace · cited by 1IsOpenEmbedding.prespectr…Set.SurjOn.preimage · cited by 1SurjOn.preimageReal.range_cos · cited by 1Real.range_cosReal.tan_surjective · cited by 0Real.tan_surjectiveSet · cited by 53352SetSet.range · cited by 4705Set.rangeSet.Subset.trans · cited by 218Subset.transSet.SurjOn · cited by 186Set.SurjOnSet.image_subset_range · cited by 76Set.image_subset_rangeSurjOn.subset_rangeCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.