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Theorem uint2bits-second

⊦ 0 < i → uint2bits(i).rest.first

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: uint2bits-expos0, uint2bits-false, uint2bits-onein, uint2bits-sgn, uint2int-rest,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 13
Used lemmas: uint2bits-zero-01, uint2bits-not-one, uint2bits-empty, uint2bits-one, uint2bits-rec-01,
Used spec theorems:
- list/bitlista/rest-01
- list/bitlista/first-01
Used simplifier rules:
- int-basic1/two-ls
- int-div/div-lezero
- intnat/labs
- int-div/abs
- int-abs/abs-16
- int-div/div2-nle
- int-div/div-two-zero
- list/bitlista/app
- list/bitlista/c
- list-data/bitlista/elim-list
- int-basic1/lf-03
- int-div/mod-two
- list/bitlista/Nil
- int-basic1/lst
- int-abs/lels-01
- int-div/div-two-zero-01
- list/bitlista/Last
- int-abs/lels
- int-abs/lels-03
- int-basic1/lf-02
- list/bitlista/Two
- list/bitlista/c-07
- list/bitlista/a
- list/bitlista/first