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Theorem size-one-02

⊦ # s = 1 ∧ a ∈ s ∧ b ∈ s → a = b

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by: one-in, size-one, size-three-02,
Used by units in proved state: set-union, oset,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 8
Used lemmas: In-empty, size-zero-02, Size-insert, eq, rax, Size-empty, gen, ne-02, ne-01,
Used spec theorems:
- Used simplifier rules: