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Proof step 1 from proof perm-ins (conclusion)

⊦ perm((x + ins≤(a, y)) -1l a, z) ↔ perm(x + y, z)

User applied rule cut formula

And obtained the following new goals

Proof step 2:
perm((x + ins≤(a, y)) -1l a, x + y) ⊦ perm((x + ins≤(a, y)) -1l a, z) ↔ perm(x + y, z)
Proof step 4:
⊦ perm((x + ins≤(a, y)) -1l a, x + y), perm((x + ins≤(a, y)) -1l a, z) ↔ perm(x + y, z)

Rule argument

fma: perm((x + ins≤(a, y)) -1l a, x + y)

Additional information

Used formulas: perm((x + ins≤(a, y)) -1l a, x + y)