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Proof step 28 from proof compatfields-mode (previous step)

⊦ r = jvmref, (∀ sk. sk ∈ instfields(class) → r -- sk ∈ st[_mode, val] ∧ is_fskey(sk) ∧ compat(str, st[_mode, val][r -- sk], sk .fs .type, st[_mode, val])) ↔ compatfields(str, r, instfields(class), st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
⊦ r = jvmref, (∀ sk. sk ∈ instfields(class) → r -- sk ∈ st ∧ is_fskey(sk) ∧ compat(str, st[r -- sk], sk .fs .type, st[_mode, val])) ↔ compatfields(str, r, instfields(class), st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ jvmref → (st[_mode, val][r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ r ≠ jvmref → ( r -- sk ∈ st[_mode, val] ↔ r -- sk ∈ st)])]]