Theorems · Theorem · logic and foundations
Set.countable_empty
∀ {α : Type u}, ∅.Countable- Defined in
- Mathlib.Data.Set.Countable
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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.Countablestatement · cited by 545
- Set.to_countableproof · cited by 46
Cited by14
Results whose statement or proof uses this declaration.
- DiffContOnCl.circleIntegral_one_div_sub_center_pow_smulproof · cited by 3
- DiffContOnCl.circleAverage_smul_divproof · cited by 2
- DiffContOnCl.circleIntegral_sub_inv_smulproof · cited by 2
- DiffContOnCl.hasFPowerSeriesOnBallproof · cited by 1
- DiffContOnCl.two_pi_i_inv_smul_circleIntegral_sub_inv_smulproof · cited by 1
- TopologicalSpace.IsSeparable.univ_piproof · cited by 1
- Equiv.Perm.IsCycleOn.countableproof · cited by 0
- MeasureTheory.integral2_divergence_prod_of_hasFDerivAtproof · cited by 0
- Complex.integral_boundary_rect_of_continuousOn_of_hasFDerivAt_realproof · cited by 0
- Complex.integral_boundary_rect_of_differentiableOn_realproof · cited by 0