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Proof step 3 from proof mod-other-hp (previous step)

(a[P] * R)[rs, f, g] ⊦ g(r) = a, (a[P] * true)[rs, f(r; o), g]

User applied rule cut formula

And obtained the following new goals

Proof step 4:
g = g(r; g(r)), (a[P] * R)[rs, f, g] ⊦ g(r) = a, (a[P] * true)[rs, f(r; o), g]
Proof step 7:
(a[P] * R)[rs, f, g] ⊦ g(r) = a, g = g(r; g(r)), (a[P] * true)[rs, f(r; o), g]

Rule argument

fma: g = g(r; g(r))

Additional information

Used formulas: g = g(r; g(r))