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Proof step 8 from proof aux-unknown (previous step)

g(r) = a0, (a1[r =>_] * R)[rs, f, g(r; a1)] ⊦ (a0[r =>_] * R)[rs, f, g]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ r =>_ = _∃(λ o. r => o)
Proof step 10:
g(r) = a0, (a1[_∃(λ o. r => o)] * R)[rs, f, g(r; a1)] ⊦ (a0[_∃(λ o. r => o)] * R)[rs, f, g]

Rule argument

spec: maplet name: mapex seq: ⊦ r =>_ = _∃(λ o. r => o) subst: [r] → [r] flags: <all paths>

Additional information

Used terms: r