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Theorem vals-at

⊦ n < # fis → (fis .vals)[n] = fis[n] .2

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 11
Used lemmas: getvals-rec-01,
Used spec theorems:
- list-del/javavalues/get-rec
Used simplifier rules:
- nat/ls-le-simp
- nat/succ-01
- nat-basic2/oz
- list-del/fieldinit-assoclista/get-succ
- nat/elim-pred-c
- list/javavalues/e-01
- list/javavalues/c-07
- list/javavalues/app-02-ant
- list/javavalues/e
- list/javavalues/a
- list-del/fieldinit-assoclista/get-zero-01
- pair/fieldinit/inj
- list-del/javavalues/get-zero-01
- nat-basic2/c
- nat-basic2/a
- nat/lels
- nat-basic2/s
- list/fieldinit-assoclista/len-02
- list/fieldinit-assoclista/len
- list/fieldinit-assoclista/e-01
- list/fieldinit-assoclista/a
- list/fieldinit-assoclista/c
- list-data/fieldinit-assoclista/l
- nat-basic1/f
- pair/fieldinit/elim