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Proof step 98 from proof ex-fits-validrefs-stronger (previous step)

fits(r, sks, st) ⊦ junkref(str, r, st), ∃ refs. validrefs(str, r ' + refs, st[r -- _type] .type, st) ∧ # refs = # sks ∧ (∀ sks0. sks0 ⊑ sks ∧ sks0 ≠ [] → st[r -- sks0] .refval = (r ' + refs)[# sks0])

User applied rule structural induction

And obtained the following new goals

Proof step 4:
fits(r, [], st) ⊦ junkref(str, r, st), ∃ refs. validrefs(str, r ' + refs, st[r -- _type] .type, st) ∧ # refs = # [] ∧ (∀ sks0. sks0 ⊑ [] ∧ sks0 ≠ [] → st[r -- sks0] .refval = (r ' + refs)[# sks0])
Proof step 97:
∀ r, st, str. fits(r, sks0, st) → junkref(str, r, st) ∨ (∃ refs. validrefs(str, r ' + refs, st[r -- _type] .type, st) ∧ # refs = # sks0 ∧ (∀ sks1. sks1 ⊑ sks0 ∧ sks1 ≠ [] → st[r -- sks1] .refval = (r ' + refs)[# sks1])), fits(r, sk + sks0, st) ⊦ junkref(str, r, st), ∃ refs. validrefs(str, r ' + refs, st[r -- _type] .type, st) ∧ # refs = # (sk + sks0) ∧ (∀ sks1. sks1 ⊑ sk + sks0 ∧ sks1 ≠ [] → st[r -- sks1] .refval = (r ' + refs)[# sks1])

Rule argument

[VARWITHVARSEQSARG : sks, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : storekeys generated by [], +;])]]