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Theorem in-insert-strong

⊦ m0 ∈ D[m, n] ↔ ¬ ¬(m0 = m ∨ m0 ∈ D)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment: always expand lhs here.
Used by: NEWPARTS-example, REFINE-example,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
Used spec theorems:
- Used simplifier rules:
  - store/map_nat_nat/In-insert