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Proof step 1 from proof map-ifn-full (conclusion)

⊦ ar.mapIf(φ, f, # ar) = ar.mapIf(φ, f)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ar.mapIf(φ, f) = ar.mapIndices(ar.indicesWhere(φ), f)
Proof step 3:
⊦ ar.mapIf(φ, f, # ar) = ar.mapIndices(ar.indicesWhere(φ), f)

Rule argument

spec: <toplevel> name: mapif-def seq: ⊦ ar.mapIf(φ, f) = ar.mapIndices(ar.indicesWhere(φ), f) subst: [f, φ, ar] → [f, φ, ar] flags: <all paths>

Additional information

Used terms: f, φ, ar