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Proof step 1 from proof perm-switch (conclusion)
⊦ m < # y ∧ n < # y ∧ a = y[n] ∧ b = y[m] → (perm(x, y[m, a][n, b]) ↔ perm(x, y))
System applied rule normalize
And obtained the following new goals
Proof step 2
:
a = y[n], b = y[m], m < # y, n < # y ⊦ perm(x, y[m, a][n, b]) ↔ perm(x, y)
Rule argument
Additional information