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Proof step 3 from proof always-noincrease-stable (previous step)

□ (A'' ≪ A ∨ A'' = A) ⊦ □ ⟨a := A⟩ (◇ A ≪ a), ◇ □ A'' = A

User applied rule cut formula

And obtained the following new goals

Proof step 4:
□ ⟨a := A⟩ (□ (A ≪ a ∨ A = a)), □ (A'' ≪ A ∨ A'' = A) ⊦ □ ⟨a := A⟩ (◇ A ≪ a), ◇ □ A'' = A
Proof step 17:
□ (A'' ≪ A ∨ A'' = A) ⊦ □ ⟨a := A⟩ (□ (A ≪ a ∨ A = a)), □ ⟨a := A⟩ (◇ A ≪ a), ◇ □ A'' = A

Rule argument

fma: □ ⟨a := A⟩ (□ (A ≪ a ∨ A = a))

Additional information

Used formulas: □ ⟨a := A⟩ (□ (A ≪ a ∨ A = a))