gapt.proofs.lk.rules.TopAxiom.scala Maven / Gradle / Ivy

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General Architecture for Proof Theory

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package gapt.proofs.lk.rules

import gapt.expr.Const
import gapt.expr.formula.Top
import gapt.expr.formula.prop.PropFormula
import gapt.proofs.HOLSequent

/**
 * An LKProof introducing ⊤ on the right:
 *  *       --------⊤:r
 *         :- ⊤
 * 
 */
case object TopAxiom extends InitialSequent {
  override def name: String = "⊤:r"
  override def conclusion: HOLSequent = HOLSequent(Nil, Seq(Top()))
  def mainFormula: PropFormula with Const = Top()
}