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Proof step 8 from proof remove-refsize0-down (previous step)

gstore[n] = groupblock(gndx, lax, m) ⊦ (n ∈ gstore ∧ m ≠ 0 ↔ n ∈ remove-refsize0(gstore ↓)) ∧ (n ∈ gstore ∧ m ≠ 0 → gstore[n] ↓ = remove-refsize0(gstore ↓)[n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
gstore[n] = groupblock(gndx, lax, m) ⊦ (n ∈ gstore ∧ m ≠ 0 ↔ n ∈ remove-refsize0(gstore ↓)) ∧ (n ∈ gstore ∧ m ≠ 0 → groupblock(prefixn(valid-group-nodes(gndx), gndx), prefixn(valid-group-nodes(gndx), lax), m) = remove-refsize0(gstore ↓)[n])

Rule argument

Additional information

Used simplifier rules: down-block-explicit: ⊦ groupblock(gndx, lax, m0) ↓ = groupblock (prefixn(valid-group-nodes(gndx), gndx), prefixn(valid-group-nodes(gndx), lax), m0);