Constructs a proof ending with an ExistsRight rule. The rule: (rest of s1) sL |- sR, A[term/x] -------------------- (ForallLeft) sL |- sR, Exists x.A
Constructs a proof ending with an ExistsRight rule. The rule: (rest of s1) sL |- sR, A[term/x] -------------------- (ForallLeft) sL |- sR, Exists x.A
The top proof with (sL, A[term/x] |- sR) as the bottommost sequent.
The occurrence of the formula A[term/x], in which a term is to be all-quantified.
The resulting (Exists x.A), with some (not necessarily all) instances of term replaced by a newly introduced variable.
The term to be existentially quantified & whose substitution into the main formula yields the auxiliary formula.
An LK Proof ending with the new inference.
Constructs a proof ending with an ExistsRight rule. The rule: (rest of s1) sL |- sR, A[term/x] -------------------- (ExistsRight) sL |- sR, Exists x.A
Constructs a proof ending with an ExistsRight rule. The rule: (rest of s1) sL |- sR, A[term/x] -------------------- (ExistsRight) sL |- sR, Exists x.A
The top proof with (sL, A[term/x] |- sR) as the bottommost sequent.
The occurrence of the formula A[term/x], in which a term is to be existentially quantified.
The resulting (Exists x.A), with some (not necessarily all) instances of term replaced by a newly introduced variable.
The term to be existentially quantified & whose substitution into the main formula yields the auxiliary formula.
An LK Proof ending with the new inference.
Constructs a proof ending with an ExistsRight rule. The rule: (rest of s1) sL |- sR, A[term/x] -------------------- (ExistsRight) sL |- sR, Exists x.A
Constructs a proof ending with an ExistsRight rule. The rule: (rest of s1) sL |- sR, A[term/x] -------------------- (ExistsRight) sL |- sR, Exists x.A
The top proof with (sL, A[term/x] |- sR) as the bottommost sequent.
The formula A[term/x], in which a term is to be existentially quantified.
The resulting (Exists x.A), with some (not necessarily all) instances of term replaced by a newly introduced variable.
The term to be existentially quantified & whose substitution into the main formula yields the auxiliary formula.
An LK Proof ending with the new inference.