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Proof step 8 from proof good-field-subset (previous step)

sk = fs ', is_fskey(sk), st ⊆ st0, r -- sk ∈ st, r ∈ st ⊦ r -- sk ∈ st0 ∧ okval(st0[r -- sk], fs .type) ↔ okval(st[r -- sk], fs .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
st ⊆ st0, r -- fs ' ∈ st, r ∈ st ⊦ r -- fs ' ∈ st0 ∧ okval(st0[r -- fs '], fs .type) ↔ okval(st[r -- fs '], fs .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(fs ')])]]