Theorems · Theorem · logic and foundations
Set.sep_univ
∀ {α : Type u} {p : α → Prop}, {x | x ∈ Set.univ ∧ p x} = {x | p x}- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredstatement and proof · cited by 6,101
- Set.univstatement · cited by 3,945
- Set.univ_interproof · cited by 258
Cited by11
Results whose statement or proof uses this declaration.
- convex_ballproof · cited by 30
- convex_closedBallproof · cited by 11
- Seminorm.convex_ballproof · cited by 4
- Monotone.convex_geproof · cited by 0
- Antitone.convex_geproof · cited by 0
- Antitone.convex_gtproof · cited by 0
- Antitone.convex_leproof · cited by 0
- Antitone.convex_ltproof · cited by 0
- Monotone.convex_gtproof · cited by 0
- Monotone.convex_leproof · cited by 0
- Monotone.convex_ltproof · cited by 0