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Theorem one

⊦ 1 < m ↔ ¬(m = 0 ∨ m = 1)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: one-02,
Used by units in proved state: stut-mon, set-basic, nat-prime, nat-pot, nat-mult, nat-inf, nat-div, nat, mon-lim-filter-count, list-perm, array-copy, array-copy, set-union, set-union, array-copy, nat-inf, nat-mult, mon-lim-filter-count, string-less, stut-mon, stut-mon, set-basic, oset, olist, nat, list-data, nat-prime, nat-pot, nat-pair, list-last, list-dup, nat-div, list-perm,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: one-06, oz, c, a, one-01, s-04, succ, gen,
Used spec theorems:
- Used simplifier rules: