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Proof step 5 from proof absf-at (previous step)

n < # ebatbl, m0 < # ebatbl, n ≤ m0, ∀ n, ebatbl, v, evol, apebs, q. n < m0 ∧ n < # ebatbl ∧ m0 ≤ # ebatbl → absf(v, evol, apebs, ebatbl, q, m0)[n] = (ebatbl[n] = unmapped ⊃ (v × n ∈ q ⊃ unmapped;erased) ;mapped(apebs[ebatbl[n].pnum].data, (evol[n].mapped? ⊃ evol[n].fill;apebs[ebatbl[n].pnum].fill)) ) ⊦ absf(v, evol, apebs, ebatbl, q, m0) [m0, (ebatbl[m0] = unmapped ⊃ (v × m0 ∈ q ⊃ unmapped;erased) ;mapped(apebs[ebatbl[m0].pnum].data, (evol[m0].mapped? ⊃ evol[m0].fill;apebs[ebatbl[m0].pnum].fill)) ) ] [n ] = (ebatbl[n] = unmapped ⊃ (v × n ∈ q ⊃ unmapped;erased) ;mapped(apebs[ebatbl[n].pnum].data, (evol[n].mapped? ⊃ evol[n].fill;apebs[ebatbl[n].pnum].fill)) )

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 6:
n = m0, m0 < # ebatbl, n < # ebatbl, n ≤ m0, ∀ n, ebatbl, v, evol, apebs, q. n < m0 ∧ n < # ebatbl ∧ m0 ≤ # ebatbl → absf(v, evol, apebs, ebatbl, q, m0)[n] = (ebatbl[n] = unmapped ⊃ (v × n ∈ q ⊃ unmapped;erased) ;mapped(apebs[ebatbl[n].pnum].data, (evol[n].mapped? ⊃ evol[n].fill;apebs[ebatbl[n].pnum].fill)) ) ⊦ absf(v, evol, apebs, ebatbl, q, m0) [m0, (ebatbl[m0] = unmapped ⊃ (v × m0 ∈ q ⊃ unmapped;erased) ;mapped(apebs[ebatbl[m0].pnum].data, (evol[m0].mapped? ⊃ evol[m0].fill;apebs[ebatbl[m0].pnum].fill)) ) ] [n ] = (ebatbl[n] = unmapped ⊃ (v × n ∈ q ⊃ unmapped;erased) ;mapped(apebs[ebatbl[n].pnum].data, (evol[n].mapped? ⊃ evol[n].fill;apebs[ebatbl[n].pnum].fill)) )
Proof step 11:
m0 < # ebatbl, n < # ebatbl, n ≤ m0, ∀ n, ebatbl, v, evol, apebs, q. n < m0 ∧ n < # ebatbl ∧ m0 ≤ # ebatbl → absf(v, evol, apebs, ebatbl, q, m0)[n] = (ebatbl[n] = unmapped ⊃ (v × n ∈ q ⊃ unmapped;erased) ;mapped(apebs[ebatbl[n].pnum].data, (evol[n].mapped? ⊃ evol[n].fill;apebs[ebatbl[n].pnum].fill)) ) ⊦ absf(v, evol, apebs, ebatbl, q, m0) [m0, (ebatbl[m0] = unmapped ⊃ (v × m0 ∈ q ⊃ unmapped;erased) ;mapped(apebs[ebatbl[m0].pnum].data, (evol[m0].mapped? ⊃ evol[m0].fill;apebs[ebatbl[m0].pnum].fill)) ) ] [n ] = (ebatbl[n] = unmapped ⊃ (v × n ∈ q ⊃ unmapped;erased) ;mapped(apebs[ebatbl[n].pnum].data, (evol[n].mapped? ⊃ evol[n].fill;apebs[ebatbl[n].pnum].fill)) ), n = m0

Rule argument

fma: n = m0

Additional information

Used formulas: n = m0