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Theorem short-size

⊦ ¬ 32768 < 2 ^ n→i(# int2bits(s2i(sho)) - 1)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: short-size-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 12
Used lemmas: short-max-01, short-min-01,
Used spec theorems:
Used simplifier rules:
- int-abs/lels-02
- int-abs/mone-06
- int-abs/anti
- int2bits/int2bits-zero
- list/bitlista/len-02
- int-abs/forward-lele
- int-abs/numle-02
- int-abs/lels-01
- int-basic2/add-a
- int-basic2/add-c
- int-abs/forward-le-04
- int-abs/lels
- nat-basic1/f
- nat/ls
- nat/lels-01
- nat-basic1/one-01
- list-data/bitlista/l
- int2bits/int2bits-not-empty
- nat-basic1/z
- intnat/num-n2i-ls-02
- int-pot/pot2-pos-01
- intnat/nat2int
- int-pot/pot2-pos
- int-basic1/forward-pos
- int-abs/forward-le-05