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Theorem min-com

⊦ x + x0 ≠ [] → (min(x + x0) = min(x0 + x) ↔ true)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 32
Proof steps: 86
Used lemmas: min-base, min-rec,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - list/app
  - list/a
  - list/c
  - list/e-01
  - list/app-02
  - list/e-03
  - list/len
  - list/len-02
  - nat-basic/l
  - nat-basic/a
  - nat-basic/c
  - oelem/transitivity
  - oelem/irreflexivity
  - oelem/nll
  - oelem/ls-le
  - oelem/sls
  - nat/lels
  - nat/le-add