Theorems · Theorem · number theory
Height.mulHeight_swap
∀ {K : Type u_1} [inst : Field K] [inst_1 : Height.AdmissibleAbsValues K] (x y : K),
Height.mulHeight ![x, y] = Height.mulHeight ![y, x]- Defined in
- Mathlib.NumberTheory.Height.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 25,697
- Equivproof · cited by 8,337
- Fieldstatement and proof · cited by 7,404
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- 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
- List.ofFn_injproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Height.mulHeight₁_invproof · cited by 2
- Height.logHeight_swapproof · cited by 0