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Proof step 37 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) ⊦ junkrefs(str, (r ' + refs0) + refs1, ty, st)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 36:
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)

Rule argument

[fma-arg: refs0 = []]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ refs + [] = refs], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' .last = r], [CSIMPSEQ : ⊦ [] + refs = refs], [CSIMPSEQ : ⊦ junkrefs (str, r ' + refs, st[r -- _type] .type, st) → junkrefs(str, r ' + refs, ty, st)])], [EXTRAFMAS : (refs0 = [])]]