Theorems · Theorem · number theory
Height.mulHeight_cons_zero
∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {n : ℕ} (x : Fin n → K),
Height.mulHeight (Matrix.vecCons 0 x) = Height.mulHeight x- Defined in
- Mathlib.NumberTheory.Height.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Equivproof · cited by 8,337
- Fieldstatement and proof · cited by 7,404
- Matrix.vecConsstatement and proof · cited by 852
- zero_lt_oneproof · cited by 598
- Equiv.transproof · cited by 337
- Height.AdmissibleAbsValuesstatement and proof · cited by 110
- finCongrproof · cited by 78
- Height.mulHeightstatement and proof · cited by 64
- finCongr_applyproof · cited by 47
- Matrix.cons_val_succproof · cited by 47
Cited by2
Results whose statement or proof uses this declaration.
- Height.mulHeight_cons_cons_zeroproof · cited by 3
- Height.logHeight_cons_zeroproof · cited by 0