object pushSingleWeakeningToLeaves
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def
apply(proof: LKProof, side: Polarity, formula: Formula): LKProof
Adds a weakening inference to the leaves of the given proof.
Adds a weakening inference to the leaves of the given proof.
- proof
The proof of the end sequent Γ → Δ.
- side
The side of the weakening which will be added.
- formula
The formula A which is to be introduced by weakenings.
- returns
A proof of the end sequent Γ → Δ, A or A, Γ → Δ depending on the weakening polarity.
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def
apply(proof: LKProof): LKProof
Pushes a weakening inference to the leaves.
Pushes a weakening inference to the leaves.
- proof
An LK-proof to which the reduction is applied.
- returns
If the last inference is a weakening inference, and this weakening is not part of a weakening-only subtree then a proof of the same end-sequent obtained by moving the weakening inference to the leaves is returned. Otherwise the proof is not modified.
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- def withConnector(proof: LKProof): (LKProof, SequentConnector)