fact: Definition ax_HF2_false := ∀ ∀ t_f false $1 ≢ t_dum → t_f false $1 ≡ t_f false $0 → $1 ≡ $0.
imports: Lia Arith Undecidability.PCP.PCP Undecidability.PCP.Util.PCP_facts Undecidability.Synthetic.DecidabilityFacts Undecidability(FOL.Utils.FullSyntax) Undecidability(FOL.FSAT) Undecidability.Shared.ListAutomation