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Theorem get-first

⊦ 0 < j → getarray(r, i, j, st) .first = st[r -- i ']

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: get-sublist,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: get-zero, get-empty, getArray-one, getArray-rec,
Used spec theorems:
- list/javavalues/first-01
Used simplifier rules:
- int-abs/anti
- int-basic1/lf-03
- int-basic2/ax-04
- list/javavalues/Nil
- list/javavalues/a
- intnat/abs-succ-03
- nat-basic2/s
- intnat/labs
- int-abs/abs-16
- oelem/intlista/irreflexivity
- nat-basic2/a
- nat-basic2/c
- int-abs/leone
- int-abs/succ-02
- int-basic2/add-c
- int-basic2/add-a
- int-abs/sub-add
- int-abs/elim-sub
- list/javavalues/Last
- int-abs/lels
- int-abs/bet
- int-basic1/lf-02
- list/javavalues/first