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Theorem sub-notin

⊦ x ⊆ y ∧ ¬ a ∈ y → ¬ a ∈ x

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by: insub, insub-01, size, sub-in, sub-size-01, subset-diff-union, subset-trans,
Used by units in proved state: list-perm, list-setequal,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: subset,
Used spec theorems:
- Used simplifier rules: