Theorems · Theorem · field theory
Rat.cast_ofNat
∀ {α : Type u_3} [inst : DivisionRing α] (n : ℕ) [inst_1 : n.AtLeastTwo], ↑(OfNat.ofNat n) = OfNat.ofNat n- Defined in
- Mathlib.Data.Rat.Cast.Defs
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingNat.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.
- Nat.cast_oneproof · cited by 2,501
- DivisionRingstatement and proof · cited by 1,062
- div_oneproof · cited by 629
- Nat.AtLeastTwostatement and proof · cited by 405
- Int.cast_ofNatproof · cited by 86
- Rat.cast_defproof · cited by 20
Cited by19
Results whose statement or proof uses this declaration.
- PeriodPair.ω₁_div_two_notMem_latticeproof · cited by 10
- Rat.round_castproof · cited by 3
- isCusp_SL2Z_iffproof · cited by 3
- bernoulliFun_eval_oneproof · cited by 3
- nivenproof · cited by 2
- niven_angle_div_pi_eqproof · cited by 1
- hasSum_zeta_fourproof · cited by 1
- hasSum_zeta_twoproof · cited by 1
- PeriodPair.ω₂_div_two_notMem_latticeproof · cited by 1
- riemannZeta_neg_nat_eq_bernoulli'proof · cited by 1
- bernoulliFun_oneproof · cited by 1
- niven_sinproof · cited by 0