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Theorem size-two-03

1 < # s ⊦ ∃ a, b. a ≠ b ∧ a ∈ s ∧ b ∈ s

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 9
Used lemmas: add, eq-03, size-zero-01, Size-insert, ne-02, ne-01, eq, ne, size-zero, rax, Size-empty, gen,
Used spec theorems:
- Used simplifier rules: