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Proof step 3 from proof swap-inf-to-from-app (previous step)

n = n0 + m, m ≤ n ⊦ ⌜nf to n⌝ + σ0 from m = ⌜(nf from m) to n0⌝ + σ0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ ⌜nf to n0 + m⌝ + σ0 from m = ⌜(nf from m) to n0⌝ + σ0

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2%lep: ⊦ m ≤ m + n; from specification nat