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Theorem valid-indices-append

⊦ valid-indices(ar, nx0 + nx1) ↔ valid-indices(ar, nx0) ∧ valid-indices(ar, nx1)

Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 16
Used lemmas: valid-indices,
Used spec theorems:
- nat-list-less/ls-ext
Used simplifier rules:
- list/nat-list-set/a
- list/nat-list-set/in-append
- nat/lels
- nat/le-ls-simp