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Proof step 7 from proof payload-copy-right-lower (previous step)

m + (nused0 + 1) + n < # zbrar, m < # zbrar, ∀ m, n, zbrar. m + nused0 + n < # zbrar → payload(copy(zbrar, m + nused0, zbrar, m + nused0 + 1, n), m, nused0) = payload(zbrar, m, nused0) ⊦ (zbrar[m].entry? ⊃ payload(copy(zbrar, m + nused0 + 1, zbrar, 2 + m + nused0, n), m + 1, nused0)[zbrar[m].key, zbrar[m].adr] ;payload(copy(zbrar, m + nused0 + 1, zbrar, 2 + m + nused0, n), m + 1, nused0) ) = (zbrar[m].entry? ⊃ payload(zbrar, m + 1, nused0)[zbrar[m].key, zbrar[m].adr];payload(zbrar, m + 1, nused0))

User applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: m + 1, n, zbrar abort: F discard: T computed: F

Additional information

Used simplifier rules: a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used terms: m + 1, n, zbrar