Theorems · Theorem · logic and foundations
Cardinal.toNat_ofNat
∀ (n : ℕ) [inst : n.AtLeastTwo], Cardinal.toNat (OfNat.ofNat n) = OfNat.ofNat n
- Defined in
- Mathlib.SetTheory.Cardinal.ToNat
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Cardinalstatement · cited by 2,598
- MonoidWithZeroHomstatement · cited by 704
- Nat.AtLeastTwostatement and proof · cited by 405
- Cardinal.toNatstatement · cited by 153
- Cardinal.toNat_natCastproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- QuaternionAlgebra.finrank_eq_fourproof · cited by 1
- QuadraticAlgebra.finrank_eq_twoproof · cited by 0