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Proof of `Symmetric membership and hardness of the permanent` (2nd statement)

groundedproofs/Lax461425Proofs/PermanentMembership.lean · lax-461425

What this proof establishes

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 permanent family has a polynomial-size jointly symmetric Boolean witness. The result holds over every commutative ring, including characteristic two.