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Proof step 2 from proof ins3 (previous step)

⊦ stng[a, d1][b, d0][a, d][a0] = stng[b, d0][a, d][a0]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ a ≠ b → stng[b, d][a] = stng[a]
Proof step 4:
a0 ≠ a ⊦ stng[a, d1][b, d0][a0] = stng[b, d0][a, d][a0]

Rule argument

name: At-other rotate: F subst: [a, d, b, stng] → [a0, d, a, stng[a, d1][b, d0]]

Additional information

Used simplifier rules: At-same: ⊦ stng[a, d][a] = d; Used terms: a0, d, a, stng[a, d1][b, d0]