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Theorem size-two-04

⊦ # s ≠ 0 ∧ # s ≠ 1 ∧ a ∈ s → (∃ b. b ∈ s ∧ a ≠ b)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas: in-04, size-one-01, size-exgr, ne-02, ne-01,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/one-02