Abstract class that performs most of the construction of left and right equality rules.
Attributes
- Companion
- object
- Source
- EqualityRule.scala
- Graph
-
- Supertypes
-
trait CommonRuleclass UnaryLKProofclass LKProoftrait Producttrait Equalsclass Objecttrait Matchableclass AnyShow all
- Known subtypes
-
class EqualityLeftRuleclass EqualityRightRule
Members list
Value members
Abstract methods
Attributes
- Source
- EqualityRule.scala
Attributes
- Source
- EqualityRule.scala
Attributes
- Source
- EqualityRule.scala
The immediate subproof of the rule.
Concrete methods
Attributes
- Source
- EqualityRule.scala
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.
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.
Attributes
- Source
- EqualityRule.scala
Attributes
- Source
- EqualityRule.scala
Attributes
- Source
- EqualityRule.scala
Attributes
- Definition Classes
- Source
- EqualityRule.scala
Attributes
- Source
- EqualityRule.scala
Inherited methods
Attributes
- Inherited from:
- LKProof
- Source
- LKProof.scala
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 containing the auxiliary formulas of the rule. The first list constains the auxiliary formulas in the first premise and so on.
Attributes
- Inherited from:
- SequentProof
- Source
- SequentProof.scala
Attributes
- Inherited from:
- ContextRule
- Source
- SequentProof.scala
Operations that view the sub-proofs as a DAG, which ignore duplicate sub-proofs, see gapt.proofs.DagProof.DagLikeOps for a list.
Operations that view the sub-proofs as a DAG, which ignore duplicate sub-proofs, see gapt.proofs.DagProof.DagLikeOps for a list.
Attributes
- Inherited from:
- DagProof
- Source
- DagProof.scala
Depth of the proof, which is the maximum length of a path you can take via immediateSubProofs.
Depth of the proof, which is the maximum length of a path you can take via immediateSubProofs.
Attributes
- Inherited from:
- DagProof
- Source
- DagProof.scala
The end-sequent of the rule.
Checks whether this instance is equal to that. This universal equality method is defined in AnyRef.
Checks whether this instance is equal to that. This universal equality method is defined in AnyRef.
Attributes
- Definition Classes
- Inherited from:
- DagProof
- Source
- DagProof.scala
The object connecting the lower and upper sequents.auxFormulas
The object connecting the lower and upper sequents.auxFormulas
Attributes
- Inherited from:
- UnaryLKProof
- Source
- UnaryLKProof.scala
The immediate subproofs of this rule.
The immediate subproofs of this rule.
Attributes
- Definition Classes
- Inherited from:
- UnaryLKProof
- Source
- UnaryLKProof.scala
The name of this rule (in words).
The list of main formulas of the rule.
The list of main formulas of the rule.
Attributes
- Inherited from:
- SequentProof
- Source
- SequentProof.scala
A list of SequentIndices denoting the main formula(s) of the rule.
A list of SequentIndices denoting the main formula(s) of the rule.
Attributes
- Definition Classes
- Inherited from:
- ContextRule
- Source
- SequentProof.scala
The name of this rule (in symbols).
A list of occurrence connectors, one for each immediate subproof.
A list of occurrence connectors, one for each immediate subproof.
Attributes
- Definition Classes
- Inherited from:
- ContextRule
- Source
- SequentProof.scala
The upper sequent of the rule.
The upper sequents of the rule.
The name of the n^th^ element of this product, 0-based. In the default implementation, an empty string.
The name of the n^th^ element of this product, 0-based. In the default implementation, an empty string.
Value parameters
- n
-
the index of the element name to return
Attributes
- Returns
-
the name of the specified element
- Throws
-
IndexOutOfBoundsException
if the
nis out of range(n < 0 || n >= productArity). - Inherited from:
- Product
- Source
- Product.scala
An iterator over the names of all the elements of this product.
An iterator over the names of all the elements of this product.
Attributes
- Inherited from:
- Product
- Source
- Product.scala
An iterator over all the elements of this product.
An iterator over all the elements of this product.
Attributes
- Returns
-
in the default implementation, an
Iterator[Any] - Inherited from:
- Product
- Source
- Product.scala
A string used in the toString methods of derived classes. Implementations may override this method to prepend a string prefix to the result of toString methods.
A string used in the toString methods of derived classes. Implementations may override this method to prepend a string prefix to the result of toString methods.
Attributes
- Returns
-
in the default implementation, the empty string
- Inherited from:
- Product
- Source
- Product.scala
Attributes
- Definition Classes
- Inherited from:
- SequentProof
- Source
- SequentProof.scala
Returns the subproof at the given position: p.subProofAt(Nil) is p itself; p.subProofAt(i :: is) is the ith subproof of p.subProofAt(is).
Returns the subproof at the given position: p.subProofAt(Nil) is p itself; p.subProofAt(i :: is) is the ith subproof of p.subProofAt(is).
Attributes
- Inherited from:
- DagProof
- Source
- DagProof.scala
Set of all (transitive) sub-proofs including this.
Set of all (transitive) sub-proofs including this.
Attributes
- Inherited from:
- DagProof
- Source
- DagProof.scala
Returns a string representation of the object.
Returns a string representation of the object.
The default representation is platform dependent.
Attributes
- Returns
-
a string representation of the object.
- Definition Classes
-
DagProof -> Any
- Inherited from:
- DagProof
- Source
- DagProof.scala
Operations that view the sub-proofs as a tree, see gapt.proofs.DagProof.TreeLikeOps for a list.
Operations that view the sub-proofs as a tree, see gapt.proofs.DagProof.TreeLikeOps for a list.
Attributes
- Inherited from:
- DagProof
- Source
- DagProof.scala
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.
Value parameters
- antecedentIndices
-
Indices that should be in the antecedent.
- premise
-
The sequent to be checked.
- succedentIndices
-
Indices that should be in the succedent.
Attributes
- Inherited from:
- LKProof
- Source
- LKProof.scala
Inherited and Abstract methods
Checks whether this instance can possibly equal that.
Checks whether this instance can possibly equal that.
A method that should be called from every well-designed equals method that is open to be overridden in a subclass. See Programming in Scala, Chapter 28 for discussion and design.
Value parameters
- that
-
the value being probed for possible equality
Attributes
- Returns
-
true if this instance can possibly equal
that, otherwise false - Inherited from:
- Equals
- Source
- Equals.scala
Attributes
- Inherited from:
- ContextRule
- Source
- SequentProof.scala
The size of this product.
The size of this product.
Attributes
- Returns
-
for a product
A(x,,1,,, ..., x,,k,,), returnsk - Inherited from:
- Product
- Source
- Product.scala
The n^th^ element of this product, 0-based. In other words, for a product A(x,,1,,, ..., x,,k,,), returns x,,(n+1),, where `0 = productArity).
The n^th^ element of this product, 0-based. In other words, for a product A(x,,1,,, ..., x,,k,,), returns x,,(n+1),, where `0 = productArity).
Attributes
- Returns
-
the element
nelements after the first element - Inherited from:
- Product
- Source
- Product.scala
Concrete fields
Attributes
- Source
- EqualityRule.scala
Attributes
- Source
- EqualityRule.scala
Attributes
- Source
- EqualityRule.scala
Attributes
- Source
- EqualityRule.scala
Inherited fields
The conclusion of the rule.
Calculates a hash code value for the object.
Calculates a hash code value for the object.
The default hashing algorithm is platform dependent.
Note that it is allowed for two objects to have identical hash codes (o1.hashCode.equals(o2.hashCode)) yet not be equal (o1.equals(o2) returns false). A degenerate implementation could always return 0. However, it is required that if two objects are equal (o1.equals(o2) returns true) that they have identical hash codes (o1.hashCode.equals(o2.hashCode)). Therefore, when overriding this method, be sure to verify that the behavior is consistent with the equals method.
Attributes
- Returns
-
the hash code value for this object.
- Inherited from:
- DagProof
- Source
- DagProof.scala