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Theorem subseteq-lebrefs-subseteq

⊦ q0 ⊆ q1 → q0.lebrefs ⊆ q1.lebrefs

Type: A user defined theorem
Validity: The proof is valid.
Features: ss,
Comment:
Used by: rm-vl-lebrefs-subseteq,
Used by units in proved state: ubi-asm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 13
Used lemmas: queue-in-vl, in-vl-in-lebrefs, lebrefs-rec, lebrefs-base,
Used spec theorems:
- Used simplifier rules:
  - list-set/erasequeue-base/subset-empty
  - set-basic/lebrefset/sub-e
  - set-union/lebrefset/One
  - list/erasequeue-base/a
  - list-set/erasequeue-base/subset-rec
  - list/erasequeue-base/c
  - erasequeueentry/elim
  - set-union/lebrefset/unadd
  - set-basic/lebrefset/sub-add-03
  - set-union/lebrefset/unc
  - set-union/lebrefset/una
  - set-union/lebrefset/une