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Proof step 1 from proof always-noincrease-stable (conclusion)

□ (A'' ≪ A ∨ A'' = A) ⊦ ◇ □ A'' = A

User applied rule insert lemma

And obtained the following new goals

Proof step 2:
□ ⟨a := A⟩ (◇ A ≪ a) ⊦
Proof step 3:
□ (A'' ≪ A ∨ A'' = A) ⊦ □ ⟨a := A⟩ (◇ A ≪ a), ◇ □ A'' = A

Rule argument

spec: <toplevel> name: not-always-decrease seq: □ ⟨a := A⟩ (◇ A ≪ a) ⊦ subst: [A] → [A]

Additional information

Used terms: A