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Proof step 20 from proof binheap-inv-remove-wbufs (previous step)

kar[m0] = key-index(natkey, m4), lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[m4] = mklp(m1, m2, lpf, m3), 2exp-size(# kar), m4 < # lpt, m0 < # kar, m0 < m, heap-order(kar, m), no-dups-idx(kar, m), m ≤ # kar, ∀ m0. m0 < m → kar[m0].idx < # lpt ∧ lpt[kar[m0].idx].gcheapidx = m0 ⊦ m3 = m0

User applied rule all left

And obtained the following new goals

Proof step 21:
lpt.mapIndices(ns, λ lp. lp.size:= LEB_SIZE)[m4] = mklp(m1, m2, lpf, m3), kar[m0] = key-index(natkey, m4), 2exp-size(# kar), m0 < m, m0 < # kar, m4 < # lpt, heap-order(kar, m), no-dups-idx(kar, m), m ≤ # kar, m0 < m → kar[m0].idx < # lpt ∧ lpt[kar[m0].idx].gcheapidx = m0 ⊦ m3 = m0

Rule argument

pos: left 10 terms: m0 abort: F discard: T computed: T

Additional information

Used terms: m0