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Theorem allls-incbound

⊦ all<(ix, n) → (¬ all<(ix, n + m) ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: inv-incbound, pushx-inv, pushx-inv-gen,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas: allls-rec, allls-base,
Used spec theorems:
- Used simplifier rules:
  - list/indexseq/a
  - list/indexseq/c
  - nat-basic1/f
  - nat-basic2/c
  - nat-basic2/a
  - nat-basic2/l-02
  - nat/fle-01
  - nat/lels