Theorems · Theorem · number theory
Rat.mul_den_eq_num
∀ (q : ℚ), q * ↑q.den = ↑q.num
- Defined in
- Mathlib.Algebra.Ring.Rat
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_commproof · cited by 2,262
- Nat.cast_zeroproof · cited by 1,870
- Int.cast_natCastproof · cited by 393
- Rat.den_ne_zeroproof · cited by 9
- Rat.divInt_oneproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- PadicInt.isUnit_denproof · cited by 3
- NNRat.mul_den_eq_numproof · cited by 2
- PadicInt.norm_sub_modPartproof · cited by 1
- Rat.den_le_and_le_num_le_of_sub_lt_one_div_den_sqproof · cited by 1
- Rat.den_mul_eq_numproof · cited by 1
- Real.exists_natCast_add_one_lt_pow_of_one_ltproof · cited by 1
- Matrix.num_div_denproof · cited by 1
- Rat.num_lt_succ_floor_mul_denproof · cited by 1