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Proof step 4 from proof map-indices-size (previous step)

nx < # ar ⊦ # ar.mapIndices(nx, f) = # ar

User applied rule structural induction

And obtained the following new goals

Proof step 5:
⊦ ar.mapIndices([], f) = ar
Proof step 6:
m + nx0 < # ar, ∀ ar, f. nx0 < # ar → # ar.mapIndices(nx0, f) = # ar ⊦ # ar.mapIndices(m + nx0, f) = # ar

Rule argument

indvar: nx

Additional information

Used simplifier rules: mapindices-base: ⊦ ar.mapIndices([], f) = ar;%nat-list freely generated by [], +;;