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Proof step 1 from proof nodes-append-subseteq-nodown (conclusion)

# gndx = # lax, # gndx1 = # lax1 ⊦ n ∈ gstore ∧ gstore[n] = groupblock(gndx, lax, m0) → nodes(gstore ↓, ginval) ⊆ nodes(gstore ↓[n, groupblock(gndx + gndx1, lax + lax1, m0)], ginval)

System applied rule normalize

And obtained the following new goals

Proof step 2:
# gndx1 = # lax1, # gndx = # lax, gstore[n] = groupblock(gndx, lax, m0), n ∈ gstore ⊦ nodes(gstore ↓, ginval) ⊆ nodes(gstore ↓[n, groupblock(gndx + gndx1, lax + lax1, m0)], ginval)

Proof step 1 from proof nodes-append-subseteq-nodown (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information