Theorems · Definition · logic and foundations
Cardinal.ofENat
ℕ∞ → Cardinal.{u_1}Coercion ℕ∞ → Cardinal. It sends natural numbers to natural numbers and ⊤ to ℵ₀.
See also Cardinal.ofENatHom for a bundled homomorphism version.
- Defined in
- Mathlib.SetTheory.Cardinal.ENat
- Cited by
- 66 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses Quot.sound
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.
- ENatstatement and proof · cited by 4,985
- Cardinalstatement and proof · cited by 2,598
- Cardinal.aleph0proof · cited by 521
Cited by68
Results whose statement or proof uses this declaration.
- Cardinal.toENat_liftproof · cited by 10
- Cardinal.toENat_ofENatstatement · cited by 8
- Cardinal.lift_ofENatstatement and proof · cited by 7
- Cardinal.ofENat_strictMonostatement · cited by 4
- Cardinal.enat_gcstatement · cited by 4
- Cardinal.ofENat_le_aleph0statement · cited by 3
- Cardinal.ofENat_eq_natstatement · cited by 2
- Cardinal.ofENat_le_ofENatstatement · cited by 2
- Cardinal.ofENat_lt_ofENatstatement · cited by 2
- Cardinal.ofENat_toENat_lestatement · cited by 2
- Cardinal.toENat_strictMonoOnproof · cited by 2
- Cardinal.toENat_le_iff_of_le_aleph0proof · cited by 2