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Theorem count-i2j-length

⊦ i ≤ j → # count-i2j(i, j) = i→n(j - i) + 1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 8
Used lemmas: count-i2j-empty-02, count-rec,
Used spec theorems:
- int-abs/Abs-pos
- intnat/Int2nat-pos
Used simplifier rules:
- nat-basic2/c
- nat-basic2/a
- nat-basic2/eq-01
- list/intlista/a
- list/intlista/len-02
- list/intlista/len
- int-abs/succ-01
- int-abs/abs-03
- int-abs/lep
- int-abs/forward-lele
- int-abs/abssub
- intnat/labs
- int-abs/sub-add-01
- int-abs/sub-add-05
- int-abs/sub-le-01
- int-abs/lep-01
- int-abs/sub-ls
- int-abs/sub-sub
- int-abs/sub-ls-01
- int-basic2/add-zero
- int-basic2/add-a
- int-basic2/add-c
- int-abs/lels
- int-abs/anti
- int-abs/sub-eq-01
- list-data/intlista/l
- int-abs/succ-02