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Proof step 7 from proof ecs-write (previous step)

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

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Proof step 8:
m < # wlar ⊦ (ecs(wlar, # wlar) -- wlar[m].ec) ++ wle.ec = (m < # wlar ⊃ (ecs(wlar) -- wlar[m].ec) ++ wle.ec;ecs(wlar))
Proof step 12:
⊦ ecs(wlar, # wlar) = (m < # wlar ⊃ (ecs(wlar) -- wlar[m].ec) ++ wle.ec;ecs(wlar)), m < # wlar

Rule argument

pos: right 1

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