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Theorem subapp

⊦ x ⊆m x0 ∧ y ⊆m y0 → x + y ⊆m x0 + y0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: papp,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas: subrec, subapp-03, subempty,
Used spec theorems:
- Used simplifier rules:
  - list/Nil
  - list-del/app
  - list/in-11
  - list/a
  - list/c