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Proof step 32 from proof btree-inv-format (previous step)

⊦ refsize-cons((∅)[n, indexblock(indexnode(mkbrarray(BRANCH_SIZE), true, 0) ', @(m0, m1) ', m1)], ∅ ++ @(n, m0, m1))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 33:
⊦ refsize-cons(istore, as) ↔ (∀ n. n ∈ istore → istore[n].ref-size = (as | n).size)
Proof step 34:
⊦ ∀ n0. n0 ∈ (∅)[n, indexblock(indexnode(mkbrarray(BRANCH_SIZE), true, 0) ', @(m0, m1) ', m1)] → (∅)[n, indexblock(indexnode(mkbrarray(BRANCH_SIZE), true, 0) ', @(m0, m1) ', m1)][n0].ref-size = ((∅ ++ @(n, m0, m1)) | n0).size

Rule argument

spec: ablock-store-refsize-cons, inst: index-store name: refsize-cons-def seq: ⊦ refsize-cons(istore, as) ↔ (∀ n. n ∈ istore → istore[n].ref-size = (as | n).size) subst: [as, istore] → [∅ ++ @(n, m0, m1), (∅ )[n, indexblock (indexnode(mkbrarray(BRANCH_SIZE), true, 0) ', @(m0, m1) ', m1) ]] flags: <all paths>

Additional information

Used terms: ∅ ++ @(n, m0, m1), (∅ )[n, indexblock (indexnode(mkbrarray(BRANCH_SIZE), true, 0) ', @(m0, m1) ', m1) ]