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Proof step 27 from proof cyclic-put-badclassfield (previous step)

is_classtype(st[r0 -- _type] .type) ⊦ fs ' = _type, cyclic(str, r, st[r0 -- fs ', val]) ↔ cyclic(str, r, st), junkref(str, r, st), fs ' ∈ instfields(st[r0 -- _type] .type .class)

User applied rule case distinction

And obtained the following new goals

Proof step 13:
cyclic(str, r, st[r0 -- fs ', val]), is_classtype(st[r0 -- _type] .type) ⊦ cyclic(str, r, st), fs ' = _type, junkref(str, r, st), fs ' ∈ instfields(st[r0 -- _type] .type .class)
Proof step 26:
cyclic(str, r, st), is_classtype(st[r0 -- _type] .type) ⊦ cyclic(str, r, st[r0 -- fs ', val]), fs ' = _type, junkref(str, r, st), fs ' ∈ instfields(st[r0 -- _type] .type .class)

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]