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Proof step 8 from proof initsubset-mode (conclusion)

⊦ init⊆(str, st, st0[_mode, val]) ↔ init⊆(str, st, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ init⊆(str, st, st0) ∧ init⊆(str, st0, st1) → init⊆(str, st, st1)
Proof step 7:
¬ (init⊆(str, st, st0) ∧ init⊆(str, st0, st0[_mode, val])) ⊦ init⊆(str, st, st0[_mode, val]) ↔ init⊆(str, st, st0)

Rule argument

[crewrite-arg: initsubset-trans , F , [str, st, st0, st1] → [str, st, st0, st0[_mode, val]] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, st, st0, st0[_mode, val])]]