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Proof step 29 from proof validrefs-postfix (previous step)

¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty)), validrefs(str, r ' + acc + r0 ' + refs, ty, st), ∀ str, refs0, st, ty. ¬ validrefs(str, refs0, st[refs0 .first -- _type] .type, st) ∧ refs0 ≠ [] → ¬ validrefs(str, acc + refs0, ty, st) ⊦ validrefs(str, r0 ' + refs, st[r0 -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ validrefs(str, jvmref ' + refs, ty, st) ↔ refs = []
Proof step 28:
validrefs(str, r ' + acc + r0 ' + refs, ty, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, refs0, st, ty. ¬ validrefs(str, refs0, st[refs0 .first -- _type] .type, st) ∧ refs0 ≠ [] → ¬ validrefs(str, acc + refs0, ty, st) ⊦ r = jvmref, validrefs(str, r0 ' + refs, st[r0 -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

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