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Proof step 15 from proof lebs-dom-remove-refsize0 (previous step)

ri[key] = @(m, m0, m1), gstore[m] = groupblock(gndx, lax, m2), inv(gstore \ ginval), ri-cons(ri, nodes(gstore ↓, ginval)), key ∈ ri, m ∈ gstore → m2 = (range ri | m).size ⊦ m ∈ remove-refsize0(gstore)

User applied rule cut formula

And obtained the following new goals

Proof step 16:
gstore[m] = groupblock(gndx, lax, m2), ri[key] = @(m, m0, m1), inv(gstore \ ginval), ri-cons(ri, nodes(gstore ↓, ginval)), key ∈ ri, m ∈ gstore, m ∈ gstore → m2 = (range ri | m).size ⊦ m ∈ remove-refsize0(gstore)
Proof step 18:
gstore[m] = groupblock(gndx, lax, m2), ri[key] = @(m, m0, m1), inv(gstore \ ginval), ri-cons(ri, nodes(gstore ↓, ginval)), key ∈ ri, m ∈ gstore → m2 = (range ri | m).size ⊦ m ∈ remove-refsize0(gstore), m ∈ gstore

Rule argument

fma: m ∈ gstore

Additional information

Used formulas: m ∈ gstore