Constructs a proof ending with a ForallRight rule. This function merely returns the resulting sequent, not a proof. The rule: (rest of s1) sL |- sR, A[y/x] -------------------- (ForallRight) sL |- sR, Forall x.A
Constructs a proof ending with a ForallRight rule. This function merely returns the resulting sequent, not a proof. The rule: (rest of s1) sL |- sR, A[y/x] -------------------- (ForallRight) sL |- sR, Forall x.A
The sequent (sL |- sR, A[y/x]).
The formula A[y/x], in which a free variable y is to be all-quantified.
The resulting (Forall x.A), with some (not necessarily all) instances of the free variable eigen_var replaced by a newly introduced variable.
The eigenvariable to be all-quantified & whose substitution into the main formula yields the auxiliary formula.
The sequent (sL |- sR, Forall x.A).
Constructs a proof ending with a ForallRight rule. The rule: (rest of s1) sL |- sR, A[y/x] -------------------- (ForallRight) sL |- sR, Forall x.A
Constructs a proof ending with a ForallRight rule. The rule: (rest of s1) sL |- sR, A[y/x] -------------------- (ForallRight) sL |- sR, Forall x.A
The top proof with (sL |- sR, A[y/x]) as the bottommost sequent.
The occurrence of the formula A[y/x], in which a free variable y is to be all-quantified.
The resulting (Forall x.A), with some (not necessarily all) instances of the free variable eigen_var replaced by a newly introduced variable.
The eigenvariable to be all-quantified & whose substitution into the main formula yields the auxiliary formula.
An LK Proof ending with the new inference.
Constructs a proof ending with a ForallRight rule. The rule: (rest of s1) sL |- sR, A[y/x] -------------------- (ForallRight) sL |- sR, Forall x.A
Constructs a proof ending with a ForallRight rule. The rule: (rest of s1) sL |- sR, A[y/x] -------------------- (ForallRight) sL |- sR, Forall x.A
The top proof with (sL |- sR, A[y/x]) as the bottommost sequent.
The formula A[y/x], in which a free variable y is to be all-quantified.
The resulting (Forall x.A), with some (not necessarily all) instances of the free variable eigen_var replaced by a newly introduced variable.
The eigenvariable to be all-quantified & whose substitution into the main formula yields the auxiliary formula.
An LK Proof ending with the new inference.