Theorems · Theorem · general topology
interior_univ
∀ {X : Type u} [inst : TopologicalSpace X], interior Set.univ = Set.univ- Defined in
- Mathlib.Topology.Closure
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.univstatement · cited by 3,945
- interiorstatement · cited by 714
- isOpen_univproof · cited by 112
- IsOpen.interior_eqproof · cited by 58
Cited by24
Results whose statement or proof uses this declaration.
- ProbabilityTheory.integral_id_gaussianRealproof · cited by 6
- Set.Finite.interior_biInterproof · cited by 5
- frontier_univproof · cited by 3
- VectorField.mpullback_mlieBracketWithinproof · cited by 3
- ModelWithCorners.range_subset_closure_interiorproof · cited by 2
- ProbabilityTheory.memLp_id_gaussianRealproof · cited by 2
- VectorField.leibniz_identity_mlieBracket_applyproof · cited by 1
- strictConvex_univproof · cited by 1
- ProbabilityTheory.mgf_le_of_mem_Icc_of_integral_eq_zeroproof · cited by 1
- MDifferentiableAt.isInteriorPoint_of_surjective_mfderivproof · cited by 1
- ModelWithCorners.mem_interior_range_of_mem_interior_range_of_mem_atlasproof · cited by 1
- interior_eq_univproof · cited by 1