Theorems · Theorem · number theory
Height.mulHeight_cons_cons_zero
∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {n : ℕ} (a : K) (x : Fin n → K),
Height.mulHeight (Matrix.vecCons a (Matrix.vecCons 0 x)) = Height.mulHeight (Matrix.vecCons a x)- Defined in
- Mathlib.NumberTheory.Height.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Matrix.vecConsstatement and proof · cited by 852
- Equiv.swapproof · cited by 197
- Height.AdmissibleAbsValuesstatement and proof · cited by 110
- Height.mulHeightstatement and proof · cited by 64
- Height.mulHeight_comp_equivproof · cited by 7
- Height.mulHeight_cons_zeroproof · cited by 2
- Matrix.cons_cons_comp_swap_zero_oneproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Height.mulHeight₁_div_eq_mulHeightproof · cited by 2
- Height.mulHeight_cons_cons_cons_zeroproof · cited by 1
- Height.logHeight_cons_cons_zeroproof · cited by 0