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Proof step 2 from proof mapex-and (previous step)

⊦ (_∃(λ o. r => o) ∧ r => o) = r => o

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
∀ H. ((P1 → P0))(H) ⊦ (P0 ∧ P1) = P1
Proof step 4:
⊦ (_∃(λ o. r => o) ∧ r => o) = r => o, ∀ H. ((r => o → _∃(λ o. r => o)))(H)

Rule argument

spec: heap-sep name: and-weaken seq: ∀ H. ((P1 → P0))(H) ⊦ (P0 ∧ P1) = P1 subst: [P1, P0] → [r => o, _∃(λ o. r => o)] flags: <all paths>

Additional information

Used terms: r => o, _∃(λ o. r => o)