
The complete proof:
The Isar proof is in: proofs/isar_proof3.thy
The proof in the natural language form is in: proofs/nl_proof3.tex
The number of steps: 1
The number of axioms used: 1
The list of used axioms:
ax_int_pl_pl_21 

The clean proof: 
The Isar proof is in: proofs/isar_proof_optimized3.thy
The proof in the natural language form is in: proofs/nl_proof_optimized3.tex
The number of steps: 1

The list of all axioms considered (given and derived) is in: all_axioms.txt.

Basic time: 0 seconds. 
Cleaning time: 0 seconds. 
Total time: 0 seconds. 

