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Proof step 4 from proof insperm-01 (previous step)

perm(a ' + x, ins≤(a, x)), perm(ins≤(a, x), a ' + x) ⊦ perm(ins≤(a, x), ins≤(a, y)) ↔ perm(x, y)

User applied rule insert lemma

And obtained the following new goals

Proof step 5:
⊦ perm(a ' + x, ins≤(a, x))
Proof step 6:
perm(a ' + y, ins≤(a, y)), perm(a ' + x, ins≤(a, x)), perm(ins≤(a, x), a ' + x) ⊦ perm(ins≤(a, x), ins≤(a, y)) ↔ perm(x, y)

Rule argument

spec: olist inst: name: insperm seq: ⊦ perm(a ' + x, ins≤(a, x)) subst: [a, x] → [a, y] flags: current, []

Additional information

Used terms: a, y