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Theorem addex

⊦ m < n ↔ (∃ m0. m + m0 = n ∧ m0 ≠ 0)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 7
Used lemmas: refl-nat, eq-01, eq-02, one-04, less-zero, succ, ls-04, s-04, oz, gen, f, c, a, l-01,
Used spec theorems:
- Used simplifier rules: