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Proof step 8 from proof perm-eq (previous step)

unique_al(ax), perm(ax, ay), a × d ∈ ax, perm(ay, ax), unique_al(ay), a × d ∈ ay ⊦ ax[a] = d

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ a × d ∈ ax ∧ unique_al(ax) → ax[a] = d

Rule argument

name: lookup-02 rotate: F subst: [a, d, ax] → [a, d, ax]

Additional information

Used terms: a, d, ax