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Proof step 2 from proof bin-heap-inv-write-other (previous step)

lpt[n] = mklp(m0, m1, lpf0, m2), keyset(gch) = gc-heap(lpt, nx), n < # lpt ⊦ bin-heap-inv(gch, lpt[n, mklp(n0, n1, lpf1, n2)]) ↔ bin-heap-inv(gch, lpt), lpf0 = LP_GROUP_NODES

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
lpt[n] = mklp(m0, m1, lpf0, m2), keyset(gch) = gc-heap(lpt, nx, # lpt), n < # lpt ⊦ bin-heap-inv(gch, lpt[n, mklp(n0, n1, lpf1, n2)]) ↔ bin-heap-inv(gch, lpt), lpf0 = LP_GROUP_NODES

Rule argument

Additional information

Used simplifier rules: gc-heap: ⊦ gc-heap(lpt, nx) = gc-heap(lpt, nx, # lpt);% ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic