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Proof step 152 from proof validrefs-not-contains (previous step)

∀ str, st, ty. ¬ contains(str, st[acc .first -- _type] .type, st[acc .last -- _type] .type) ∧ acc ≠ [] ∧ acc .first ≠ acc .last ∧ acc .last ≠ jvmref → ¬ validrefs(str, acc, ty, st) ⊦ ¬ contains(str, st[(r + acc) .first -- _type] .type, st[(r + acc) .last -- _type] .type) ∧ r + acc ≠ [] ∧ (r + acc) .first ≠ (r + acc) .last ∧ (r + acc) .last ≠ jvmref → ¬ validrefs(str, r + acc, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 151:
validrefs(str, r ' + acc, ty, st), ∀ str, st, ty. ¬ contains(str, st[acc .first -- _type] .type, st[acc .last -- _type] .type) ∧ acc ≠ [] ∧ acc .first ≠ acc .last ∧ acc .last ≠ jvmref → ¬ validrefs(str, acc, ty, st) ⊦ (r ' + acc) .last = jvmref, r = (r ' + acc) .last, contains(str, st[r -- _type] .type, st[(r ' + acc) .last -- _type] .type)

Rule argument

[emptyarg]

Additional information

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