Theorems · Theorem · order theory
Set.range_subset_range_iff_exists_comp
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {f : α → γ} {g : β → γ}, Set.range f ⊆ Set.range g ↔ ∃ h, f = g ∘ h- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by3
Results whose statement or proof uses this declaration.
- Continuous.exists_lift_sigmaproof · cited by 1
- exteriorPower.ιMulti_family_span_fixedDegree_of_spanproof · cited by 1
- Nucleus.range_subset_rangeproof · cited by 0