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Proof step 144 from proof validrefs-not-contains (previous step)

¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty)), validrefs(str, r ' + r0 ' + refs0 + r1 ', ty, st), ∀ str0, st0, ty0. ¬ contains(str0, st0[r0 -- _type] .type, st0[r1 -- _type] .type) ∧ r0 ≠ r1 → ¬ validrefs(str0, r0 ' + refs0 + r1 ', ty0, st0) ⊦ r1 = jvmref, r = r1, contains(str, st[r -- _type] .type, st[r1 -- _type] .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 143:
validrefs(str, r ' + r0 ' + refs0 + r1 ', ty, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, ∀ str0, st0, ty0. ¬ contains(str0, st0[r0 -- _type] .type, st0[r1 -- _type] .type) ∧ r0 ≠ r1 → ¬ validrefs(str0, r0 ' + refs0 + r1 ', ty0, st0) ⊦ r1 = jvmref, r = r1, r = jvmref, contains(str, st[r -- _type] .type, st[r1 -- _type] .type)

Rule argument

[emptyarg]

Additional information

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