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Proof step 1 from proof mkemparray0-append-left (conclusion)

⊦ mkemparray(0) + ar = ar

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ # ar0 = 0 → ar0 + ar1 = ar1
Proof step 3:
⊦ mkemparray(n) = fill(mkarray(n), empty)

Rule argument

spec: <toplevel> name: append-left-size0 seq: ⊦ # ar0 = 0 → ar0 + ar1 = ar1 subst: [ar1, ar0] → [ar, mkemparray(0)] flags: <all paths>

Additional information

Used simplifier rules: emparray: ⊦ mkemparray(n) = fill(mkarray(n), empty);% ⊦ # fill(ar, a) = # ar; (s)% ⊦ # mkarray(n) = n; (s) Used terms: ar, mkemparray(0)