Theorems · Theorem · logic and foundations
Denumerable.ofEquiv_ofNat
∀ (α : Type u_3) {β : Type u_4} [inst : Denumerable α] (e : β ≃ α) (n : ℕ),
Denumerable.ofNat β n = e.symm (Denumerable.ofNat α n)- Defined in
- Mathlib.Logic.Denumerable
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- Denumerable
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 and proof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- Denumerablestatement and proof · cited by 28
- Denumerable.ofNatstatement and proof · cited by 26
- Denumerable.decode_eq_ofNatproof · cited by 9
- Denumerable.ofNat_of_decodeproof · cited by 4
- Encodable.decode_ofEquivproof · cited by 2
- Denumerable.ofEquivstatement and proof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- Primrec₂.natPairproof · cited by 4
- Nat.Partrec.Code.primrec_evalnproof · cited by 3
- Primrec₂.ofNat_iffproof · cited by 3
- Nat.Partrec.Code.fixed_point₂proof · cited by 1
- Nat.Partrec.Code.fixed_pointproof · cited by 1
- Denumerable.prod_ofNat_valproof · cited by 1
- Denumerable.prod_nat_ofNatproof · cited by 0