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Theorem size-exgr

# s < # s0 ⊦ ∃ a. a ∈ s0 ∧ ¬ a ∈ s

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: size-three, size-two-04, sub-size, sub-sizeneqex, subsize-eq,
Used by units in proved state: set-union,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 34
Used lemmas: add, in-02, indef, ne-01, eq, ne-02, rax, Size-insert, eq-03, ne, size-zero-01, size-zero, In-empty, Size-empty, gen,
Used spec theorems:
- Used simplifier rules: