The proof π1.
The index of A.
The proof π2
The index of B.
The index of A.
The index of B.
A list of lists containing the auxiliary formulas of the rule.
A list of lists containing the auxiliary formulas of the rule. The first list constains the auxiliary formulas in the first premise and so on.
A list of lists of SequentIndices denoting the auxiliary formula(s) of the rule.
A list of lists of SequentIndices denoting the auxiliary formula(s) of the rule. The first list contains the auxiliary formulas in the first premise and so on.
The conclusion of the rule.
The conclusion of the rule.
Iterate over all sub-proofs including this in post-order, ignoring duplicates.
Iterate over all sub-proofs including this in post-order, ignoring duplicates.
Set of all visited sub-proofs including this.
A sequence of all sub-proofs including this in post-order, ignoring duplicates.
A sequence of all sub-proofs including this in post-order, ignoring duplicates.
The end-sequent of the rule.
The end-sequent of the rule.
Iterate over all sub-proofs including this in post-order.
Iterate over all sub-proofs including this in post-order.
The object connecting the lower and left upper sequents.
The object connecting the lower and left upper sequents.
The object connecting the lower and right upper sequents.
The object connecting the lower and right upper sequents.
The immediate subproofs of this rule.
The immediate subproofs of this rule.
The left upper sequent of the rule.
The left upper sequent of the rule.
The proof π1.
The proof π1.
The name of the rule (in words).
The name of the rule (in words).
The list of main formulas of the rule.
The list of main formulas of the rule.
A list of SequentIndices denoting the main formula(s) of the rule.
A list of SequentIndices denoting the main formula(s) of the rule.
The name of the rule (in symbols).
The name of the rule (in symbols).
A list of occurrence connectors, one for each immediate subproof.
A list of occurrence connectors, one for each immediate subproof.
A sequence of all sub-proofs including this in post-order.
A sequence of all sub-proofs including this in post-order.
The upper sequents of the rule.
The upper sequents of the rule.
The right upper sequent of the rule.
The right upper sequent of the rule.
The proof π2
The proof π2
Set of all sub-proofs including this.
Set of all sub-proofs including this.
Checks whether indices are in the right place and premise is defined at all of them.
Checks whether indices are in the right place and premise is defined at all of them.
The sequent to be checked.
Indices that should be in the antecedent.
Indices that should be in the succedent.
An LKProof ending with a disjunction on the left:
The proof π1.
The index of A.
The proof π2
The index of B.