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Theorem count-i2j-ordered

⊦ ordered≤(count-i2j(i, j))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 15
Used lemmas: count-i2j-empty-02, count-i2j-in, counti2j-empty, count-rec,
Used spec theorems:
- olist/intlista/ole-rec
Used simplifier rules:
- int-abs/elim-sub
- int-abs/forward-le-02
- int-basic2/ls
- int-abs/zero-gels-01
- olist/intlista/le-e
- int-abs/lels-03
- int-abs/forward-le-01
- int-basic2/add-zero
- int-abs/succ-02
- int-abs/ler
- list/intlista/app
- olist/intlista/le-o
- oelem/intlista/irreflexivity
- int-abs/forward-le-05
- list/intlista/c-08
- list/intlista/e-01
- int-abs/bet-01
- list/intlista/c-07
- list-data/intlista/elim-list-c
- int-abs/lep
- int-basic2/add-less
- int-abs/forward-lele
- int-abs/forward-lsle
- int-abs/succ-01
- list/intlista/a
- list/intlista/in-14
- int-abs/lels-01
- int-abs/lsone
- int-basic2/ls-01
- list/intlista/c
- int-abs/sub-add-05
- int-basic2/add-a
- int-basic2/add-c
- intnat/abs-pred
- int-abs/lels
- int-abs/lels-02
- int-basic1/ls-01