Theorems · Theorem · logic and foundations
ZFSet.mem_range
∀ {α : Type u_1} [inst : Small.{u, u_1} α] {f : α → ZFSet.{u}} {x : ZFSet.{u}}, x ∈ ZFSet.range f ↔ ∃ i, f i = x- Defined in
- Mathlib.SetTheory.ZFC.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Small
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- PSet.Funcproof · cited by 29
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