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Proof step 1 from proof restrict-del (conclusion)

⊦ (as -- @(m, m0, m1)) | m = (as | m) -- @(m, m0, m1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ as = as0 ↔ (∀ adr. adr ∈ as ↔ adr ∈ as0)
Proof step 3:
⊦ ∀ adr. adr ∈ (as -- @(m, m0, m1)) | m ↔ adr ∈ (as | m) -- @(m, m0, m1)

Rule argument

spec: set-basic, inst: address-store name: Extension seq: ⊦ as = as0 ↔ (∀ adr. adr ∈ as ↔ adr ∈ as0) subst: [as0, as] → [(as | m) -- @(m, m0, m1), (as -- @(m, m0, m1)) | m] flags: <all paths>

Additional information

Used terms: (as | m) -- @(m, m0, m1), (as -- @(m, m0, m1)) | m