Replaces a formula F (marked by term1oc) in the antecedent of a sequent with its negation -F in the succedent of that sequent.
Replaces a formula F (marked by term1oc) in the antecedent of a sequent with its negation -F in the succedent of that sequent. This function merely returns the resulting sequent, not a proof.
The sequent (sL, F |- sR).
The occurrence of F in the anteedent of s1.
The sequent (sL |- -F, sR).
Replaces a formula F (marked by term1oc) in the antecedent of a sequent with its negation -F in the succedent of that sequent. The rule: (rest of s1) sL, F |- sR -------------- (NegLeft) sL |- -F, sR
Replaces a formula F (marked by term1oc) in the antecedent of a sequent with its negation -F in the succedent of that sequent. The rule: (rest of s1) sL, F |- sR -------------- (NegLeft) sL |- -F, sR
The top proof with (sL, F |- sR) as the bottommost sequent.
The occurrence of F in the antecedent of s1.
An LK Proof ending with the new inference.
Returns the subformula.
Returns the subformula.
A formula of the Not l
l.