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Proof step 5 from proof map-ifn-size (previous step)

n ≤ # ar ⊦ # ar.mapIndices(ar.indicesWhere(φ, n), f) = # ar, valid-indices(ar, ar.indicesWhere(φ, n))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: valid-indices-indiceswhere-h seq: ⊦ n ≤ # ar → valid-indices(ar, ar.indicesWhere(φ, n)) subst: [n, φ, ar] → [n, φ, ar] flags: <all paths>

Additional information

Used terms: n, φ, ar