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Proof step 20 from proof size-0 (previous step)

((range ri | m) ++ @(m, m0, m1)).size = 0, ri[key] = @(m, m0, m1), gstore[m] ↓ = groupblock(gndx, lax, m2), inv(gstore \ ginval), key-cons(key, nodes(gstore ↓, ginval)[@(m, m0, m1)]), key ∈ ri, @(m0, m1) ∈ lax, m ∈ gstore ⊦ m ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
⊦ (as ++ adr).size = (as -- adr).size + adr.size
Proof step 22:
((range ri | m) -- @(m, m0, m1)).size + @(m, m0, m1).size = 0, ri[key] = @(m, m0, m1), gstore[m] ↓ = groupblock(gndx, lax, m2), inv(gstore \ ginval), key-cons(key, nodes(gstore ↓, ginval)[@(m, m0, m1)]), m ∈ gstore, @(m0, m1) ∈ lax, key ∈ ri ⊦ m ∈ ginval

Rule argument

spec: ablock-store-refsize-cons, inst: index-store name: size-rec-rem seq: ⊦ (as ++ adr).size = (as -- adr).size + adr.size subst: [adr, as] → [@(m, m0, m1), range ri | m] flags: <all paths>

Additional information

Used terms: @(m, m0, m1), range ri | m