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Proof step 211 from proof pathex-put-nopathex (previous step)

refs = r + refs0, validrefs(str, refs, st[r -- _type] .type, st) ⊦ sk = _type, refs = [], path∃(str, r, refs .last, st[r0 -- sk, val]), path∃(str, r, r0, st), junkref(str, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 210:
validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ sk = _type, path∃(str, r, r0, st), junkref(str, r, st), path∃(str, r, (r ' + refs0) .last, st[r0 -- sk, val])

Rule argument

[emptyarg]

Additional information

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