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Proof step 1 from proof ecs-write (conclusion)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ecs(wlar) = ecs(wlar, # wlar)
Proof step 3:
⊦ ecs(wlar[m, wle], # wlar[m, wle]) = (m < # wlar ⊃ (ecs(wlar) -- wlar[m].ec) ++ wle.ec;ecs(wlar))

Rule argument

spec: <toplevel> name: ecs seq: ⊦ ecs(wlar) = ecs(wlar, # wlar) subst: [wlar] → [wlar[m, wle]] flags: <all paths>

Additional information

Used terms: wlar[m, wle]