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Theorem del

a ∈ s ⊦ ∃ s0. s = s0 ++ a ∧ ¬ a ∈ s0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 11
Used lemmas: in-02, eq-04, add, eq-01, in-03, eq, rax, In-empty, gen, ne-02, ne-01,
Used spec theorems:
- Used simplifier rules: