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Theorem at-shl

m0 < # zbrar, n ≤ m ⊦ shl(zbrar, n, m)[m0] = (m0 < n ∨ n + (m - n - 1) ≤ m0 ⊃ zbrar[m0];zbrar[m0 + 1])

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state: zbranch-array-ops,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: shl,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/c
  - nat-basic/a
  - nat/eq-01
  - array-copy/zbranch-array/at-copy