Lax Lean Archive

While this submission is a draft, it cannot be used by other submissions.

Proof of `PSPACE = coPSPACE` (1st statement)

groundedproofs/Lax134656Proofs/Bridge.lean · lax-134656

What this proof establishes

thm✓Lax134656.PSPACEEqCoPSPACE (1st statement)

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

SO(TC) definability is closed under complement, by this submission's statement, and a problem has the finite instances of its double complement; so the two classes have the same members, and hardness is read off membership.