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Proof step 40 from proof validrefs-addobj (previous step)

∀ str, ty, r, class, fis, st. validrefs(str, acc, ty, addobj(r, class, fis, st)) → validrefs(str, acc, ty, st) ∨ r ∈ acc, validrefs(str, r0 + acc, ty, addobj(r, class, fis, st)) ⊦ validrefs(str, r0 + acc, ty, st), r ∈ r0 + acc

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
validrefs(str, r0 ' + acc, ty, addobj(r, class, fis, st)), ∀ str, ty, r, class, fis, st. validrefs(str, acc, ty, addobj(r, class, fis, st)) → validrefs(str, acc, ty, st) ∨ r ∈ acc ⊦ r = r0, validrefs(str, r0 ' + acc, ty, st), r ∈ acc

Rule argument

[emptyarg]

Additional information

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