Theorems · Theorem · number theory
Height.mulHeight_one
∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {ι : Type u_2}, Height.mulHeight 1 = 1- Defined in
- Mathlib.NumberTheory.Height.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- Fieldstatement and proof · cited by 7,404
- Set.Elemproof · cited by 7,166
- mul_oneproof · cited by 3,885
- iSupproof · cited by 2,415
- IsEmptyproof · cited by 759
- Multiset.prodproof · cited by 528
- one_powproof · cited by 521
- Multiset.cardproof · cited by 375
- AbsoluteValueproof · cited by 363
- isEmpty_or_nonemptyproof · cited by 269
- finprodproof · cited by 257
Cited by4
Results whose statement or proof uses this declaration.
- Height.mulHeight_eq_one_of_subsingletonproof · cited by 7
- Height.mulHeight_powproof · cited by 3
- Height.logHeight_oneproof · cited by 1
- Height.fun_mulHeight_oneproof · cited by 0