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Proof step 16 from proof size-0 (previous step)

(range ri | m).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)]), @(m0, m1) ∈ lax, m ∈ gstore, key ∈ ri ⊦ m ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 17:
⊦ key ∈ ri ∧ ri[key] = adr → range ri = range ri ++ adr
Proof step 18:
((range ri ++ @(m, m0, m1)) | m).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: gjournal-base name: range-add-explicit seq: ⊦ key ∈ ri ∧ ri[key] = adr → range ri = range ri ++ adr subst: [key, adr, ri] → [key, @(m, m0, m1), ri] flags: <all paths>

Additional information

Used terms: key, @(m, m0, m1), ri