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Proof step 13 from proof del-exists (
previous step
)
a0 ∈ st0, ∀ a. a ∈ st0 → (∃ st1. ¬ a ∈ st1 ∧ st0 = st1[a, st0[a]]) ⊦ st[a0, st0[a0]][a0, d] = st[a0, d], a0 ∈ st, ∃ st. ¬ a0 ∈ st ∧ st0[a0, d] = st[a0, d]
User applied rule insert rewrite lemma
And obtained the following new goals
Proof step 14
:
⊦ st[a, d0][a, d] = st[a, d]
Rule argument
spec: <toplevel> name: insins seq: ⊦ st[a, d0][a, d] = st[a, d] subst: [d, d0, a, st] → [d, st0[a0], a0, st] flags: <all paths>
Additional information
Used terms: d, st0[a0], a0, st