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Proof step 41 from proof validrefs-addobj-junkref (previous step)

acc = r2 + refs ∧ acc ≠ [], newref(r, st), validrefs(str, r1 ' + acc, ty0, addobj(r, class, fis, st)), r ∈ acc, ∀ str0, ty, r0, class0, fis0, st0. validrefs(str0, acc, ty, addobj(r0, class0, fis0, st0)) ∧ newref(r0, st0) ∧ r0 ∈ acc → junkref(str0, r2, st0) ⊦ r = r1, r = jvmref, junkref(str, r1, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 40:
newref(r, st), validrefs(str, r1 ' + r2 ' + refs, ty0, addobj(r, class, fis, st)), ∀ str0, ty, r0, class0, fis0, st0. validrefs(str0, r2 ' + refs, ty, addobj(r0, class0, fis0, st0)) ∧ newref(r0, st0) ∧ (r0 = r2 ∨ r0 ∈ refs) → junkref(str0, r2, st0) ⊦ r = r1, r = jvmref, junkref(str, r1, st), r ≠ r2 ∧ ¬ r ∈ refs

Rule argument

[emptyarg]

Additional information

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