Theorems · Theorem · logic and foundations
Set.Subset.refl
∀ {α : Type u} (a : Set α), a ⊆ a- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 66 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
Cited by66
Results whose statement or proof uses this declaration.
- IsOpen.mem_nhdsproof · cited by 470
- Set.Subset.rflproof · cited by 255
- IsClosed.closure_eqproof · cited by 139
- IsOpen.interior_eqproof · cited by 58
- ContinuousOn.congrproof · cited by 27
- Submodule.span_eqproof · cited by 26
- Set.InjOn.bijOn_imageproof · cited by 20
- IsClosed.closure_subsetproof · cited by 11
- IsLindelof.elim_countable_subcoverproof · cited by 10
- HasMFDerivWithinAt.monoproof · cited by 9
- Filter.mem_atTopproof · cited by 9
- HasDerivWithinAt.congrproof · cited by 8