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Theorem countFun-last-01

⊦ i ≤ j ∧ 0 ≤ i → countFun(i, j, intfun) = countFun(i, j - 1, intfun) + intfun(j) '

Type: A user defined theorem
Validity: The proof is valid.
Features:
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: 14
Used lemmas: countFun-one, countFun-rec, countFun-base,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-lele
  - int-abs/elim-sub
  - int-abs/lep
  - list/intlista/e-02
  - oelem/intlista/lel
  - int-basic2/ls
  - int-abs/lenls
  - list/intlista/Nil
  - int-abs/les
  - int-abs/forward-lels
  - int-basic2/add-in
  - int-abs/one-03
  - list/intlista/c-04
  - int-abs/forward-le-01
  - int-abs/le-add-03
  - list/intlista/a
  - list/intlista/app-01
  - int-abs/le-add
  - int-basic2/add-a
  - int-basic2/add-c
  - int-abs/numle-02
  - int-abs/numleledel-01
  - int-abs/numsub
  - int-basic2/add-zero
  - int-abs/sub-add-06
  - intnat/labs
  - int-abs/absle
  - int-abs/abssub
  - int-abs/sub-ls
  - int-abs/lels
  - int-abs/lep-01