Standard Axiom Schemata for Propositional Logic


Implication Introduction: s => (t => s) Implication Distribution: (r => (s => t)) => ((r => s) => (r => t)) Conflict Resolution: (~t=>s) => ((~t=>~s)=>t) (t=>s) => ((t=>~s)=>~t) (s<=>t) => (s=>t) (s<=>t) => (t=>s) (t=>s) => ((s=>t) => (s<=>t)) (s<=t) <=> (t=>s) (s|t) <=> (~s=>t) (s&t) <=> ~(~s|~t)