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Proof step 59 from proof prepost-create-gcheap (previous step)

gc-heap(lpt2, nx, # lpt) = keyset(gch), bin-heap-inv(gch, lpt), id-idx(lpt2, lpt) ⊦ gc-heap(lpt2, nx, # lpt2) = keyset(gch)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 60:
⊦ id-idx(lpt1, lpt0) ↔ # lpt0 = # lpt1 ∧ (∀ n. n < # lpt0 → lpt1[n].ref-size = lpt0[n].ref-size ∧ lpt1[n].size = lpt0[n].size ∧ lpt1[n].flags = lpt0[n].flags)

Rule argument

spec: index-array, inst: gc-heap-base name: id-idx seq: ⊦ id-idx(lpt1, lpt0) ↔ # lpt0 = # lpt1 ∧ (∀ n. n < # lpt0 → lpt1[n].ref-size = lpt0[n].ref-size ∧ lpt1[n].size = lpt0[n].size ∧ lpt1[n].flags = lpt0[n].flags) subst: [lpt0, lpt1] → [lpt, lpt2] flags: <all paths>

Additional information

Used terms: lpt, lpt2