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Proof step 3 from proof id-idx-gcheap (previous step)

id-idx(lpt0, lpt1) ⊦ gc-heap(lpt1, nx, # lpt1) = gc-heap(lpt0, nx, # lpt0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
m ≤ # lpt1 ⊦ id-idx(lpt0, lpt1) → gc-heap(lpt1, nx, m) = gc-heap(lpt0, nx, m)
Proof step 5:
id-idx(lpt0, lpt1), # lpt1 ≤ # lpt1 ⊦ gc-heap(lpt0, nx, # lpt1) = gc-heap(lpt0, nx, # lpt0)

Rule argument

spec: <toplevel> name: gc-heap-ididx-h seq: m ≤ # lpt1 ⊦ id-idx(lpt0, lpt1) → gc-heap(lpt1, nx, m) = gc-heap(lpt0, nx, m) subst: [lpt0, m, nx, lpt1] → [lpt0, # lpt1, nx, lpt1] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m ≤ m; (s) Used terms: lpt0, # lpt1, nx, lpt1