Theorems · Theorem · logic and foundations
Denumerable.prod_ofNat_val
∀ {α : Type u_1} {β : Type u_2} [inst : Denumerable α] [inst_1 : Denumerable β] (n : ℕ),
Denumerable.ofNat (α × β) n = (Denumerable.ofNat α (Nat.unpair n).1, Denumerable.ofNat β (Nat.unpair n).2)- Defined in
- Mathlib.Logic.Denumerable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DenumerableDenumerable
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.coeproof · cited by 62,936
- Equiv.symmproof · cited by 3,681
- Nat.unpairstatement and proof · cited by 67
- Equiv.sigmaEquivProdproof · cited by 47
- Denumerablestatement and proof · cited by 28
- Denumerable.ofNatstatement and proof · cited by 26
- Equiv.sigmaEquivProd_applyproof · cited by 11
- Denumerable.sigma_ofNat_valproof · cited by 7
- Denumerable.ofEquiv_ofNatproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Nat.Partrec.Code.primrec_evalnproof · cited by 3