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

n ≤ # ar ⊦ # ar.mapIf(φ, f, n) = # ar

User applied rule insert rewrite lemma

And obtained the following new goals

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

Rule argument

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

Additional information

Used terms: n, f, φ, ar