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Proof step 2 from proof Data-in-delput-2 (previous step)

a0 ∈ st[b, d1][c, d2] ⊦ a0 = a, st[b, d1][c, d2][a0] = d1, st[b, d1][c, d2][a0] = d2, ∃ a. a ∈ st ∧ st[a] = st[b, d1][c, d2][a0]

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 3:
a0 ∈ st[b, d1][c, d2] ⊦ a0 = c, a0 = a, st[b, d1][c, d2][a0] = d1, st[b, d1][c, d2][a0] = d2, ∃ a. a ∈ st ∧ st[a] = st[b, d1][c, d2][a0]

Rule argument

fma: a0 = c

Additional information

Used simplifier rules: At-same: ⊦ st[a, d][a] = d; from specification store Used formulas: a0 = c