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Proof step 79 from proof hasSharing-dd-help (previous step)

¬ # refs0 < # refs4, # refs1 + # refs3 = # refs2, # sks0 = 2 + # refs2 + # refs0, # refs4 = # refs0, st[r -- firstn(1 + # refs0, sks0)] .refval = refs3[# refs0 - # refs4], fits(r, sks0, st), validrefs(str, (r ' + refs0) + refs3[# refs0 - # refs4] ' + refs2 + r0 ', st[r -- _type] .type, st), validrefs(str, (r ' + refs4 + refs3) + r1 ' + refs1 + r0 ', st[r -- _type] .type, st) ⊦ refs3 = [], refs4 + refs3 = [], r0 = jvmref, r1 = r0, refs3[# refs0 - # refs4] = r1, hasSharing(r, st), path∃(str, r1, refs3[# refs0 - # refs4], st), path∃(str, refs3[# refs0 - # refs4], r1, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 78:
# refs4 = # refs0, # sks0 = 2 + # refs2 + # refs0, # refs1 + # refs3 = # refs2, st[r -- firstn(1 + # refs0, sks0)] .refval = refs3 .first, fits(r, sks0, st), validrefs(str, (r ' + refs4 + refs3) + r1 ' + refs1 + r0 ', st[r -- _type] .type, st), validrefs(str, r ' + refs0 + refs3 .first ' + refs2 + r0 ', st[r -- _type] .type, st) ⊦ r1 = r0, r0 = jvmref, refs4 + refs3 = [], refs3 = [], refs3 .first = r1, hasSharing(r, st), path∃(str, refs3 .first, r1, st), path∃(str, r1, refs3 .first, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m ≤ m], [CSIMPSEQ : ⊦ refs ≠ [] → refs[0] = refs .first], [CSIMPSEQ : ⊦ m - m = 0], [CSIMPSEQ : ⊦ ¬ m < n ↔ n ≤ m])]]