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Proof step 7 from proof mod-twice (previous step)

true, ∀ n, m, n1. n < n0 → (true → m = 0 ∨ (n % m + n1) % m = (n + n1) % m) ⊦ m = 0 ∨ (n0 % m + n1) % m = (n0 + n1) % m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
∀ n, m, n1. n < n0 → (true → m = 0 ∨ (n % m + n1) % m = (n + n1) % m) ⊦ (n0 % m + n1) % m = (n0 + n1) % m, m = 0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]