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Proof step 36 from proof validrefs-junkrefs-append (previous step)

validrefs(str, r ' + refs0, ty, st), junkrefs(str, (r ' + refs0) .last ' + refs1, st[(r ' + refs0) .last -- _type] .type, st), ∀ str, ty, st, refs1. validrefs(str, refs0, ty, st) ∧ junkrefs(str, refs0 .last ' + refs1, st[refs0 .last -- _type] .type, st) → refs0 = [] ∨ junkrefs(str, refs0 + refs1, ty, st) ⊦ refs0 = [], junkrefs(str, (r ' + refs0) + refs1, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 35:
validrefs(str, r ' + refs0, ty, st), junkrefs(str, refs0 .last ' + refs1, st[refs0 .last -- _type] .type, st), ∀ str0, ty0, st0, refs. validrefs(str0, refs0, ty0, st0) ∧ junkrefs(str0, refs0 .last ' + refs, st0[refs0 .last -- _type] .type, st0) → junkrefs(str0, refs0 + refs, ty0, st0) ⊦ refs0 = [], junkrefs(str, (r ' + refs0) + refs1, ty, st)

Rule argument

[emptyarg]

Additional information

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