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Theorem get-to

m < n, ¬ # σ < ⌜n⌝ ⊦ (σ to n)[m] = σ[m]

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: from-append-tofrom, get-toinf, swap-from-to, swap-to-from-app, to-append-add,
Used by units in proved state: stut-mon, mon-lim-filter-count, streamseq-mon-lim, inf-app-list, infinite-append,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: sel-inf, get-infto, to-inf, get-finto, size-fin, sel-fin, to-fin,
Used spec theorems:
- Used simplifier rules: