Theorems · Theorem · logic and foundations
Cardinal.toENat_le_iff_of_lt_aleph0
∀ {c c' : Cardinal.{u}}, c' < Cardinal.aleph0 → (Cardinal.toENat c ≤ Cardinal.toENat c' ↔ c ≤ c')- Defined in
- Mathlib.SetTheory.Cardinal.ENat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- ENatstatement · cited by 4,985
- Cardinalstatement and proof · cited by 2,598
- Cardinal.aleph0statement and proof · cited by 521
- OrderRingHomstatement · cited by 132
- Cardinal.toENatstatement and proof · cited by 92
- Cardinal.toENat_natproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.