Theorems · Theorem · number theory
Rat.mulHeight_self_one_eq_mulHeight_num_den
∀ (q : ℚ), Height.mulHeight ![q, 1] = Height.mulHeight ![↑q.num, ↑q.den]
- Defined in
- Mathlib.NumberTheory.Height.NumberField
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- mul_oneproof · cited by 3,885
- Nat.cast_zeroproof · cited by 1,870
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- Height.mulHeightstatement and proof · cited by 64
- Matrix.smul_consproof · cited by 9
- Matrix.smul_emptyproof · cited by 8
- Height.mulHeight_smul_eq_mulHeightproof · cited by 6
- Rat.den_mul_eq_numproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Rat.mulHeight₁_eq_maxproof · cited by 2