Theorems · Theorem · logic and foundations
Cardinal.toNat_ofENat
∀ (n : ℕ∞), Cardinal.toNat ↑n = n.toNat
- Defined in
- Mathlib.SetTheory.Cardinal.ToNat
- Cited by
- 1 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- ENatstatement and proof · cited by 4,985
- Cardinalstatement · cited by 2,598
- MonoidWithZeroHomstatement · cited by 704
- Cardinal.toNatstatement · cited by 153
- ENat.toNatstatement and proof · cited by 143
- Cardinal.ofENatstatement · cited by 66
- Cardinal.toENat_ofENatproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.toNat_natCastproof · cited by 19