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Proof step 59 from proof junkref-update-equiv (previous step)

refs = r + refs0, junkrefs(str, refs, st[r -- _type] .type, st), validFields(r0, fis, st), is_valid_ref(str, r0, st) ⊦ refs = [], junkref(str, r, update(r0, fis, st)), path∃(str, r, r0, st), _type ∈ fis

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 58:
validFields(r0, fis, st), is_valid_ref(str, r0, st), junkrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ junkref(str, r, update(r0, fis, st)), path∃(str, r, r0, st), _type ∈ fis

Rule argument

[emptyarg]

Additional information

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