Theorems · Theorem · number theory

Height.mulHeight_cons_cons_cons_zero

∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] {n : ℕ} (a b : K) (x : Fin n → K),
  Height.mulHeight (Matrix.vecCons a (Matrix.vecCons b (Matrix.vecCons 0 x))) =
    Height.mulHeight (Matrix.vecCons a (Matrix.vecCons b x))

Defined in: Mathlib.NumberTheory.Height.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field Height.AdmissibleAbsValues

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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
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_cons_zeroproof · cited by 3
Matrix.cons_cons_comp_swap_zero_oneproof · cited by 2
Matrix.cons_swapproof · cited by 1

Cited by1

Results whose statement or proof uses this declaration.

Height.logHeight_cons_cons_cons_zeroproof · cited by 0