Proof of `Tunnell's representation counts are even`

groundedproofs/Lax712553Proofs/TunnellParity.lean · lax-712553

What this proof establishes

no assumptions

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

The map (x,y,z)(x,y,z)(x, y, z) ↦ (x, −y, z) preserves the equation and the bounds; a fixed point has y=0y = 0, so n=ax2+cz2n = a x² + c z² would be even.