Theorems · Theorem · order theory
Set.preimage_fst_singleton_eq_range
∀ {α : Type u_3} {β : Type u_4} {a : α}, Prod.fst ⁻¹' {a} = Set.range fun x => (a, x)- Defined in
- Mathlib.Data.Set.Insert
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.preimagestatement · cited by 4,946
- Set.rangestatement · cited by 4,705
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_preimage_fst_singleton_eq_tsumproof · cited by 1