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Proof step 8 from proof ecs-write (previous step)

m < # wlar ⊦ (ecs(wlar, # wlar) -- wlar[m].ec) ++ wle.ec = (m < # wlar ⊃ (ecs(wlar) -- wlar[m].ec) ++ wle.ec;ecs(wlar))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
m < # wlar ⊦ ecs(wlar, # wlar) -- wlar[m].ec = ecs(wlar) -- wlar[m].ec

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ bag ++ n = bag2 ++ n ↔ bag = bag2; (s)