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Theorem sources-two-transitive

⊦ d1 ∈ sources(co ' + co ', d0) ∧ d0 ∈ sources(co ' + co ', d) → d1 ∈ sources(co ' + co ', d)

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: 11
Proof steps: 117
Used lemmas: sources-1, sources-base, sources-one, sources-rec,
Used spec theorems:
- Used simplifier rules:
  - set-basic/gen-secdomain-set/in-02
  - set-basic/gen-secdomain-set/add-01
  - set-basic/gen-secdomain-set/size-one-01
  - set-basic/gen-secdomain-set/in-04
  - set-basic/gen-secdomain-set/rax
  - set-basic/gen-secdomain-set/In-insert
  - set-basic/gen-secdomain-set/size-zero
  - set-basic/gen-secdomain-set/ne
  - set-basic/gen-secdomain-set/size-zero-01
  - set-basic/gen-secdomain-set/ne-01