Axioms

NotationSchemaName
𝗘𝗙𝗤⊥ ⟶ pEx Falso Quodlibet or Law of Explosion
𝗗𝗡𝗘~~p ⟶ pDouble Negation Elimination
𝗟𝗘𝗠p ⋎ ~pLaw of Excluded Middle
𝘄𝗟𝗘𝗠~p ⋎ ~~pWeak Law of Excluded Middle
𝗣𝗲((p ⟶ q) ⟶ p) ⟶ pPeirce's Law
𝗚𝗗(p ⟶ q) ⋎ (q ⟶ p)Gödel-Dummett Axiom