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Proof step 10 from proof gengft (previous step)

r -- mkfs(class, ty, fieldvar) ' ∈ st, okval(val, ty), r ∈ st, okval(st[r -- mkfs(class, ty, fieldvar) '], ty) ⊦ r0 -- mkfs(class0, ty0, fieldvar0) ' = r -- mkfs(class, ty, fieldvar) ', mkfs(class, ty, fieldvar) ' = _type, r0 -- mkfs(class0, ty0, fieldvar0) ' ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ∧ okval(st[r -- mkfs(class, ty, fieldvar) ', val][r0 -- mkfs(class0, ty0, fieldvar0) '], ty0) ↔ r0 -- mkfs(class0, ty0, fieldvar0) ' ∈ st ∧ okval(st[r0 -- mkfs(class0, ty0, fieldvar0) '], ty0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
okval(st[r -- mkfs(class, ty, fieldvar) '], ty), r ∈ st, okval(val, ty), r -- mkfs(class, ty, fieldvar) ' ∈ st, fieldvar0 ≠ fieldvar ∨ ty0 ≠ ty ∨ class0 ≠ class ⊦ r -- mkfs(class0, ty0, fieldvar0) ' ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ∧ okval(st[r -- mkfs(class, ty, fieldvar) ', val][r -- mkfs(class0, ty0, fieldvar0) '], ty0) ↔ r -- mkfs(class0, ty0, fieldvar0) ' ∈ st ∧ okval(st[r -- mkfs(class0, ty0, fieldvar0) '], ty0), mkfs(class, ty, fieldvar) ' = _type

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]], [CSIMPSEQ : ⊦ r ≠ r0 → ( r -- sk ∈ st[r0 -- sk0, val] ↔ r -- sk ∈ st)], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)], [CSIMPSEQ : ⊦ fs ' = fs0 ' ↔ fs = fs0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]