Theorems · Theorem · field theory
NNRat.cast_natCast
∀ {α : Type u_3} [inst : DivisionSemiring α] (n : ℕ), ↑↑n = ↑n- Defined in
- Mathlib.Data.Rat.Cast.Defs
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionSemiring
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
- div_oneproof · cited by 629
- NNRatstatement · cited by 523
- NNRat.caststatement · cited by 235
- DivisionSemiringstatement and proof · cited by 216
- NNRat.cast_defproof · cited by 17
Cited by31
Results whose statement or proof uses this declaration.
- NNRat.cast_zeroproof · cited by 6
- NNRat.cast_oneproof · cited by 5
- RCLike.wInner_cWeight_eq_expectproof · cited by 4
- NNRat.cast_ofNatproof · cited by 4
- Finset.expect_eq_sum_div_cardproof · cited by 2
- RCLike.wInner_cWeight_eq_smul_wInner_oneproof · cited by 1
- RCLike.linearIndependent_of_ne_zero_of_wInner_cWeight_eq_zeroproof · cited by 1
- NNRat.cast_le_natCastproof · cited by 1
- Finset.expect_boole_mulproof · cited by 1
- Finset.cast_addConstproof · cited by 0
- Finset.cast_addConst_mul_cardproof · cited by 0
- Finset.cast_divConstproof · cited by 0