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Theorem initialization

⊦ ⟪ebm_vol_format#(m; v, avols; err)⟫ ( (err = ESUCCESS → ⟨ebm_avol_format#(m; ; avol0, err0)⟩ (avol0 = abs(avols[v]) ∧ err = err0)) ∧ (err ≠ ESUCCESS → (∀ avol. ⟨ebm_avol_format#(m; ; avol0, err0)⟩ (avol = avol0 ∧ err = err0))))

Type: A proof obligation
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: 5
Proof steps: 59
Used lemmas:
Used spec theorems:
- array/avolume/Extension
- ebm-vol-abs/abs-at
Used simplifier rules:
- store/abstract-volumes/In-empty
- store/abstract-volumes/At-same
- error-class/esuccess
- nat-basic/f
- array-copy/avolume/at-fill-mkarray
- ebm-vol-abs/abs-size
- array/avolume/Size-mkarray
- array-copy/avolume/size-fill
- array-copy/abstract-volume/at-fill-mkarray
- ebm-vol-abs/abs-leb-erased
- array-copy/abstract-volume/size-fill
- array/abstract-volume/Size-mkarray
- nat/lels
- nat/ls-le-simp
- error-class/not-esuccess
- error/disj-91
- error-class/ecommit