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Proof step 2 from proof mapex-put (previous step)

((r =>_ * P))(mk(rs, f)[r, o]), r ∈ rs ⊦ # rs = 0, rs = ∅, ((r =>_ * P))(mk(rs, f))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ r =>_ = _∃(λ o. r => o)
Proof step 4:
((_∃(λ o. r => o) * P))(mk(rs, f)[r, o]), r ∈ rs ⊦ # rs = 0, rs = ∅, ((_∃(λ o. r => o) * P))(mk(rs, f))

Rule argument

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

Additional information

Used terms: r