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Theorem prefix-split-stronger

x ⊑ y + z, ¬ x ⊑ y ⊦ ∃ x0. x = y + x0 ∧ x0 ⊑ z

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: prefix-app-01, postifx-app-03, prefix-rec-03, prefix-empty, prefix-nil,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - list/e-01
  - list/c-06
  - list/c
  - list/a
  - list/app-01