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Proof step 7 from proof validrefs-trans-01 (previous step)

validrefs(str, r ' + refs1, ty0, st), r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty, validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs1, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ validrefs(str, jvmref ' + refs, ty, st) ↔ refs = []
Proof step 6:
validrefs(str, r ' + refs1, ty0, st), validrefs(str, r ' + refs1, st[r -- _type] .type, st), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty ⊦ r = jvmref, validrefs(str, r ' + refs1, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]