Theorems · Theorem · logic and foundations
Cardinal.toENat_eq_top
∀ {c : Cardinal.{u}}, Cardinal.toENat c = ⊤ ↔ Cardinal.aleph0 ≤ c- Defined in
- Mathlib.SetTheory.Cardinal.ENat
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Top.topstatement · cited by 9,680
- ENatstatement · cited by 4,985
- Cardinalstatement and proof · cited by 2,598
- Cardinal.aleph0statement · cited by 521
- OrderRingHomstatement · cited by 132
- Cardinal.toENatstatement · cited by 92
- GaloisConnection.u_eq_topproof · cited by 4
- Cardinal.enat_gcproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.toENat_liftproof · cited by 10
- Cardinal.toNat_eq_zeroproof · cited by 5
- Cardinal.aleph_toENatproof · cited by 0
- Cardinal.continuum_toENatproof · cited by 0