Takes two formulas term1 & term2 from the antecedent and succedent of s1, respectively, and introduces the implication A -> B into the succedent of s1. The rule: (rest of s1) sL, term1 |- term2, sR -------------------------(ImpRight) sL |- term1 -> term3, sR
Takes two formulas term1 & term2 from the antecedent and succedent of s1, respectively, and introduces the implication A -> B into the succedent of s1. The rule: (rest of s1) sL, term1 |- term2, sR -------------------------(ImpRight) sL |- term1 -> term3, sR
The proof with term1 in the antecedent and term2 in the succedent of its bottommost sequent.
The formula in the antecedent of s1.
The formula in the succedent of s1.
An LK proof with the new inference.
Takes two formulas A & B (marked by term1oc in the antecedent and term2oc in the succedent of s1) and introduces the implication A -> B into the succedent of s1. This function merely returns the resulting sequent, not a proof The rule: (rest of s1) sL, A |- B, sR -------------------(ImpRight) sL |- A -> B, sR
Takes two formulas A & B (marked by term1oc in the antecedent and term2oc in the succedent of s1) and introduces the implication A -> B into the succedent of s1. This function merely returns the resulting sequent, not a proof The rule: (rest of s1) sL, A |- B, sR -------------------(ImpRight) sL |- A -> B, sR
The sequent with A in its antecedent and B in its succedent.
The occurrence of A.
The occurrence of B.
The sequent (sL |- A -> B, sR).
Takes two formulas A & B (marked by term1oc in the antecedent and term2oc in the succedent of s1) and introduces the implication A -> B into the succedent of s1. The rule: (rest of s1) sL, A |- B, sR -------------------(ImpRight) sL |- A -> B, sR
Takes two formulas A & B (marked by term1oc in the antecedent and term2oc in the succedent of s1) and introduces the implication A -> B into the succedent of s1. The rule: (rest of s1) sL, A |- B, sR -------------------(ImpRight) sL |- A -> B, sR
The proof with A in the antecedent and B in the succedent of its bottommost sequent.
The occurrence of A.
The occurrence of B.
An LK proof with the new inference.