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Proof step 15 from proof hasSharing-dd-help (previous step)

# sks0 = 2 + # refs2 + # refs0, # refs = # refs0, # refs1 = # refs2, fits(r, sks0, st), validrefs(str, (r ' + refs0) + r2 ' + refs2 + r0 ', st[r -- _type] .type, st), validrefs(str, (r ' + refs) + r1 ' + refs1 + r0 ', st[r -- _type] .type, st), # sks0 ≤ # refs0, ∀ n. n ≠ 0 ∧ ¬ # sks0 < n → st[r -- firstn(n, sks0)] .refval = ((r ' + refs) + r1 ' + refs1 + r0 ')[n] ⊦ r0 = jvmref, r1 = r0, r2 = r1, hasSharing(r, st), path∃(str, r1, r2, st), path∃(str, r2, r1, st)

User applied rule insert equation

And closed the goal!

Rule argument

[inserteqarg: pos: left 1,F,T,()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + m0 ≤ m ↔ m0 = 0], [CSIMPSEQ : ⊦ m + n = 0 ↔ m = 0 ∧ n = 0], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m + n = n + m])]]