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Theorem sis-on-bits

⊦ s2i(i2s(i)) = bits2int(lastn(16, fillsgn(16, int2bits(i))))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 19
Proof steps: 35
Used lemmas: short-max-10, num-issi, inshort, sis-in, int2short-out,
Used spec theorems:
Used simplifier rules:
- int-basic1/numlslsdel-01
- list-del/bitlista/lastn-length-01
- nat/not-zero
- int-basic1/numlslsdel
- int-abs/forward-le-05
- int-basic1/forward-pos
- int-abs/lels-01
- int-basic1/lst
- int-abs/zero-gels-03
- int-basic1/numlsf
- int-abs/forward-lels
- list-del/bitlista/num-lastN
- list-del/bitlista/lastn-one-01
- int2bits/bits2int-pos
- int2bits/bits2uint-zero
- int2bits/bits2uint-one-02
- int2bits/int2int-inj
- bitlista/mklist-num-01
- int-abs/lels-02
- int-abs/mone-06
- int-abs/anti
- int2bits/int2bits-zero
- bitopsaux/fill-rec-one
- bitlista/mklist-num
- list-last/bitlista/mk-zero
- list/bitlista/app
- list/bitlista/a
- list/bitlista/len
- list/bitlista/len-02
- int-abs/numle-02
- int-abs/numleledel-01
- int-basic2/add-a
- int-basic2/add-c
- int-abs/forward-le-04
- int-abs/numleledel
- int-abs/lels
- int-abs/numlsledel
- int2bits/int2bits-not-empty
- list-data/bitlista/l
- nat-basic1/f
- bitopsaux/fill-lastn
- nat/lels-01
- int-abs/forward-lele