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Theorem mod-add

⊦ m0 % n = 0 ∧ 0 ≠ n → (m + m0) % n = m % n

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: div-two-mult, mod-by6, mod-eq-01, mod-eq-02, square-ls-03,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: mod-mult, modex,
Used spec theorems:
- Used simplifier rules: