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Proof step 6 from proof size-rmdup-del (previous step)

# rmdup(a0 ' + x0) = m + 1, ∀ a. a ∈ x0 → # rmdup(x0 -l a) = # rmdup(x0) - 1, a = a0 ∨ a ∈ x0 ⊦ # rmdup((a0 ' + x0) -l a) = m, # rmdup(a0 ' + x0) = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
# rmdup(a0 ' + x0) = m + 1, ∀ a. a ∈ x0 → # rmdup(x0 -l a) = # rmdup(x0) - 1, a = a0 ∨ a ∈ x0 ⊦ # rmdup((a0 ' + x0) -l a) = m

Rule argument

Additional information

Used simplifier rules: a: ⊦ (x + y) + z = x + y + z; from specification list% ⊦ a ' + x ≠ []; (s)% ⊦ rmdup(x) = [] ↔ x = []; (s)% ⊦ # x = 0 ↔ x = []; (s)