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Proof step 2 from proof refsize-nonzero-notin-ginval (previous step)

gstore[n] = groupblock(gndx, lax, m2), inv(gstore \ ginval), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, ginval)), n ∈ ginval, n ∈ gstore ⊦ m2 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
gstore[n] = groupblock(gndx, lax, m2), inv(gstore \ ginval), refsize-cons(gstore, range ri), ri-cons(ri, nodes(gstore ↓, ginval)), n ∈ ginval, n ∈ gstore ⊦ # ginval = 0, ginval = ∅, m2 = 0

Rule argument

Additional information

Used simplifier rules: size-zero-01: ⊦ ns ≠ ∅ → # ns ≠ 0; (forward) from specification set-basic[nat-set]%ne-01: ⊦ n ∈ ns → ns ≠ ∅; (forward) from specification set-basic[nat-set]