Theorems · Theorem · logic and foundations
Set.mem_univ
∀ {α : Type u} (x : α), x ∈ Set.univ- Defined in
- Mathlib.Data.Set.Operations
- Cited by
- 416 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 9 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by421
Results whose statement or proof uses this declaration.
- nhds_basis_opensproof · cited by 54
- Measurable.stronglyMeasurableproof · cited by 47
- AddSubgroup.mem_topproof · cited by 29
- AddSubmonoid.mem_topproof · cited by 20
- Subgroup.mem_topproof · cited by 20
- Equiv.hasSum_iffproof · cited by 18
- Set.pi_univproof · cited by 14
- LieSubmodule.mem_topproof · cited by 11
- Submonoid.mem_topproof · cited by 11
- Set.centralizer_univproof · cited by 10
- AffineSubspace.mem_topproof · cited by 10
- SimpleGraph.toSubgraphproof · cited by 10
Showing the 200 most cited of 421.