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Theorem sources-one

⊦ sources(co ', d) = (((∃ d0. d0 ∈ sources([], d) ∧ cdom(co) ⇒ d0) ⊃ sources([], d) ++ cdom(co); sources([], d)))

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: sources-rec, sources-base,
Used spec theorems:
- Used simplifier rules:
  - list/gen-command-list/app
  - list/gen-command-list/a
  - set-basic/gen-secdomain-set/in-04