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Proof step 85 from proof compat-put (previous step)

r0 -- sk = r -- mkfs(class, ty, fieldvar) ', sk .fs = mkfs(class1, ty0, fieldvar0), st[r0 -- _type] = typeval(mkclasstype(class0)), sk ∈ instfields(class0), compat(str, val, ty, st), compatstatic(str, st), compatmode(str, st), r0 -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 ∈ st[r -- mkfs(class, ty, fieldvar) ', val], r0 -- _type ∈ st, r0 ∈ st, compatfields(str, r0, instfields(class0), st), class+∃(str, class0) ⊦ compat(str, st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- sk], ty0, st[r -- mkfs(class, ty, fieldvar) ', val]), r0 = jvmref, ty = void_type, mkfs(class, ty, fieldvar) ' = _length

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 84:
st[r -- _type] = typeval(mkclasstype(class0)), r ∈ st, r -- _type ∈ st, compatfields(str, r, instfields(class0), st), class+∃(str, class0), mkfs(class, ty0, fieldvar) ' ∈ instfields(class0), compat(str, val, ty0, st), compatstatic(str, st), compatmode(str, st) ⊦ r = jvmref, ty0 = void_type, mkfs(class, ty0, fieldvar) ' = _length, compat(str, val, ty0, st[r -- mkfs(class, ty0, fieldvar) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ (st[rk, val][rk]) = val], [CSIMPSEQ : sk ≠ sk0 ⊦ r -- sk ∈ st[r -- sk0, val] ↔ r -- sk ∈ st], [CSIMPSEQ : ⊦ ty ≠ void_type → mkfs(class, ty, fieldvar) ' ≠ _type], [CSIMPSEQ : ⊦ r ∈ st[r -- sk, val]], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) = mkfs(class0, ty0, fieldvar0) ↔ class = class0 ∧ ty = ty0 ∧ fieldvar = fieldvar0], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])]]