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Proof step 5 from proof index-update-at-last-oc (previous step)

# ax = 1 + # kx1 ⊦ ri[key ' + kx1, ax][key] = ax[0], key ∈ kx1

User applied rule constructor cut

And obtained the following new goals

Proof step 6:
# ax = 1 + # kx1, ax = adr + ax0 ⊦ ri[key ' + kx1, ax][key] = ax[0], key ∈ kx1

Rule argument

var: ax

Additional information

Used simplifier rules: address-list freely generated by [], +;;% ⊦ # [] = 0; (s)% ⊦ m + n = 0 ↔ m = 0 ∧ n = 0; (ws)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic