Theorems · Theorem · number theory
Height.mulHeight_zero
∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {ι : Type u_2}, Height.mulHeight 0 = 1- Defined in
- Mathlib.NumberTheory.Height.Basic
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Set.Elemproof · cited by 7,166
- iSupproof · cited by 2,415
- Multiset.mapproof · cited by 876
- Multiset.prodproof · cited by 528
- AbsoluteValueproof · cited by 363
- finprodproof · cited by 257
- Height.AdmissibleAbsValuesstatement and proof · cited by 110
- Height.mulHeightstatement · cited by 64
- Height.AdmissibleAbsValues.nonarchAbsValproof · cited by 30
Cited by17
Results whose statement or proof uses this declaration.
- Height.one_le_mulHeightproof · cited by 8
- Height.mulHeight_comp_equivproof · cited by 7
- Height.mulHeight_eq_one_of_subsingletonproof · cited by 7
- Height.mulHeight_oneproof · cited by 4
- Height.mulHeight_eval_leproof · cited by 3
- Height.mulHeight_powproof · cited by 3
- Height.mulHeight_sumElim_zero_eqproof · cited by 3
- Height.mulHeight_comp_leproof · cited by 2
- Height.mulHeight_eval_geproof · cited by 2
- Height.mulHeight_linearMap_apply_leproof · cited by 2
- Height.mulHeight_mul_leproof · cited by 2
- Height.logHeight_eval_geproof · cited by 1