Disproof of LNC, feel free to criticize: ⊢S := S=false ⊢lnc := For all a, ¬(a^¬a) ⊢(S=false)=false ⊢S=true ⊢S=(true=false) ⊢S=false ⊢S^¬S ⊢¬lnc
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