gapt.proofs.lk.rules.WeakeningLeftRule.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.formula.Formula
import gapt.proofs.HOLSequent
import gapt.proofs.Sequent
import gapt.proofs.lk.LKProof

/**
 * An LKProof ending with a left weakening:
 *  *        (π)
 *       Γ :- Δ
 *     ---------w:l
 *     A, Γ :- Δ
 * 
 *
 * @param subProof The subproof π.
 * @param formula The formula A.
 */
case class WeakeningLeftRule(subProof: LKProof, formula: Formula)
    extends UnaryLKProof with CommonRule {
  override def auxIndices: Seq[Seq[Nothing]] = Seq(Seq())
  override def name: String = "w:l"
  def mainFormula: Formula = formula

  override def mainFormulaSequent: HOLSequent = mainFormula +: Sequent()
}