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Theorem fill-length

⊦ # bits ≤ n → # fillsgn(n, bits) = n

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: fill-fill-01, fill-lastn-04, fill-lastn-05, fill-refill, fix-size, lastn-fill-sgn,
Used by units in proved state: intops, int2bits, bytes, byte,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: fillsgn-fill, fillsgn-empty,
Used spec theorems:
- Used simplifier rules:
  - nat-basic2/c
  - list/bitlista/c
  - list/bitlista/len
  - list/bitlista/len-02
  - list/bitlista/a
  - nat/succ-01
  - nat-basic2/a
  - list-last/bitlista/mk-len
  - nat-basic1/ls-02
  - nat/lels-01
  - nat/eq-02