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Proof step 10 from proof keys-in-elim-last-oc (previous step)

⊦ fs[adr].key ∈ keys(fs, ax0), ∃ ax, ax1, adr0. adr ' + ax0 = ax + adr0 ' + ax1 ∧ fs[adr0].key = fs[adr].key ∧ ¬ fs[adr0].key ∈ keys(fs, ax1)

User applied rule exists right

And closed the goal!

Rule argument

pos: right 2 terms: [], ax0, adr abort: F discard: T computed: F

Additional information

Used simplifier rules: ⊦ [] + ax = ax; (s)%a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[address-list-set]% ⊦ adr ' + ax = adr ' + ax0 ↔ ax = ax0; (s) Used terms: [], ax0, adr