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Proof step 1 from proof toone-equal (conclusion)

σ ≠ [] ⊦ σ to 1 = ⌜a '⌝ ↔ σ[0] = a

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ σ to 1 = ⌜a '⌝ ↔ σ[0] = a, σ = []

Rule argument

Additional information