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Theorems · Theorem · order theory

Set.surjective_codRestrict

∀ {α : Type u_1} {ι : Sort u_5} {f : ι → α} {s : Set α} (h : ∀ (x : ι), f x ∈ s),
  Function.Surjective (Set.codRestrict f s h) ↔ Set.range f = s
Defined in
Mathlib.Data.Set.Restrict
Cited by
1 results in Mathlib
Foundations
Depth 25 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.

RingHom.surjective_codRestrict · cited by 0RingHom.surjective_codRes…Set · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.range · cited by 4705Set.rangeSet.univ · cited by 3945Set.univSubtype.range_coe_subtype · cited by 170Subtype.range_coe_subtypeSet.codRestrict · cited by 48Set.codRestrictSet.Subset.antisymm_iff · cited by 4Subset.antisymm_iffSet.range_codRestrict · cited by 2Set.range_codRestrictSet.surjective_codRestrictCITED BYCITES

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