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Theorem ushort-neg

⊦ s2i(sho) < 0 → us2i(sho) = 2 ^ 16 + s2i(sho)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: short-neq-02, ushort-band-01, ushort-band-03, ushort-band-shift, ushort-inj, ushort-max, ushort-max-01, ushort-nlsz, ushort-plus, ushort-pos-01, ushort-pos-02, ushort-short, ushort-zero-01, ushort-zero-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas: short-min-01, unsigned-short,
Used spec theorems:
Used simplifier rules:
- int-abs/lels-01
- int-abs/numle-02
- int-abs/lels
- int-abs/mone-08
- int2bits/int2bits-neg-num
- int2bits/uint2bits-one
- list/bitlista/Two
- bitopsaux/invert-zero
- bitopsaux/inv-one-01
- list/bitlista/c
- bitopsaux/succ-zero
- list/bitlista/Last
- bitopsaux/sgn-two-01
- list/bitlista/len-02
- bitopsaux/fill-rec-one
- bitlista/mklist-num-01
- list-last/bitlista/mk-zero
- list/bitlista/app
- list/bitlista/e-01
- list/bitlista/len
- list-data/bitlista/l
- nat-basic1/f
- nat/lels-01
- int-basic2/add-c
- int-basic2/add-a
- int-basic2/add-in
- int2bits/int2int-inj
- bitopsaux/fill-empty
- int2bits/int2bits-not-empty
- int2bits/int2bits-fillfirst
- int2bits/int2bits-first-01
- list/bitlista/a
- int2bits/bits2int-pos
- int-abs/forward-le-02