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Proof step 58 from proof hasSharing-pathex (previous step)

refs0 = refs1 + r0 ', hasSharing(r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st), ∀ st, r, str, refs. # refs < # refs0 → (validrefs(str, r ' + refs, st[r -- _type] .type, st) ∧ hasSharing(refs .last, st) → refs = [] ∨ hasSharing(r, st)) ⊦ refs0 = [], hasSharing(r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 57:
hasSharing(r0, st), validrefs(str, r ' + refs1 + r0 ', st[r -- _type] .type, st), ∀ st, r, str, refs. # refs < # (refs1 + r0 ') → (validrefs(str, r ' + refs, st[r -- _type] .type, st) ∧ hasSharing(refs .last, st) → refs = [] ∨ hasSharing(r, st)) ⊦ hasSharing(r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ refs + r ' ≠ []])]]