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Theorem num-issi

~32768 ≤ i, i ≤ 32767 ⊦ s2i(i2s((* i))) = i

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: band-sis, bcompl-sis, bor-sis, fits-law-div, fits-law-mod-01, fits-law-shr-01, getShort-isi, inshort-sis, issi-ubyte, mfive, minus-four, minus-three, minus-three-01, minus-two, notequal-01, s144, short-add-pos, short-byte, short-inrange, short-law-div-not, short-law-ls-not, short-mod-01, short-sub-pos, short-succ, sis-01, sis-05, sis-06, sis-ls-same-01, sis-neg-high, sis-neg-low, sis-on-bits, sis-pos-high, sis-pos-low, sis-sub-2pot, ushort-plus, ushort-plus-01, ushort-pos-01, ushort-pos-02, ushort-short,
Used by units in proved state: bytes,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: inshort, sis-in,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-lele
  - int-abs/numleledel