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Proof step 88 from proof validrefs-del-junkrefs (previous step)

∀ st, r0, ty, str, r. st[r0 -- _type] .type ≤ ty ∧ junkrefs(str, (r0 ' + acc) + r ', ty, st -- r) → r = r0 ∨ junkref(str, r0, st) ∨ r ∈ acc ∨ validrefs(str, r0 ' + acc + r ', ty, st), st[r0 -- _type] .type ≤ ty, junkrefs(str, (r0 ' + (r1 + acc)) + r ', ty, st -- r) ⊦ r = r0, junkref(str, r0, st), r ∈ r1 + acc, validrefs(str, r0 ' + (r1 + acc) + r ', ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 87:
st[r0 -- _type] .type ≤ ty, junkrefs(str, r0 ' + (r1 ' + acc) + r ', ty, st -- r), ∀ st, r0, ty, str, r. st[r0 -- _type] .type ≤ ty ∧ junkrefs(str, (r0 ' + acc) + r ', ty, st -- r) → r = r0 ∨ junkref(str, r0, st) ∨ r ∈ acc ∨ validrefs(str, r0 ' + acc + r ', ty, st) ⊦ r = r0, r = r1, junkref(str, r0, st), r ∈ acc, validrefs(str, r0 ' + (r1 ' + acc) + r ', ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ ¬ r ∈ r0 ' + refs ↔ r ≠ r0 ∧ ¬ r ∈ refs], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]