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Theorem map-indices-size

⊦ valid-indices(ar, nx) → # ar.mapIndices(nx, f) = # ar

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: map-if-size, map-ifn-size,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: mapindices-rec, mapindices-base, valid-indices,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/f
  - list/nat-list-set/a
  - nat-list-less/ls-rec
  - list/nat-list-set/c
  - array/Size-put