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Proof step 8 from proof gengft (previous step)

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) ' = r -- mkfs(class, ty, fieldvar) ', 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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
okval(st[r -- mkfs(class, ty, fieldvar) '], ty), r ∈ st, okval(val, ty), r -- mkfs(class, ty, fieldvar) ' ∈ st, r -- mkfs(class0, ty0, fieldvar0) ' ∈ st, fieldvar0 ≠ fieldvar ∨ ty0 ≠ ty ∨ class0 ≠ class, class0 ≠ class ∨ ty0 ≠ ty ∨ fieldvar0 ≠ fieldvar ⊦ mkfs(class, ty, fieldvar) ' = _type, okval(st[r -- mkfs(class, ty, fieldvar) ', val][r -- mkfs(class0, ty0, fieldvar0) '], ty0) ↔ okval(st[r -- mkfs(class0, ty0, fieldvar0) '], ty0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : sk ≠ sk0 ⊦ r -- sk ∈ st[r -- 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)])]]