| ¬(⌜m⌝ < # σ ∧ finp(σ)), #((σ from m) to n) = #((σ to m + n) from m), #(σ from m) < ⌜n⌝ , ⌜n0⌝ < #((σ from m) to n) ⊦ ((σ from m) to n)[n0] = ((σ to m + n) from m)[n0], # σ < ⌜m⌝ + ⌜n⌝ |
#((σ from m) to n) = #((σ to m + n) from m), #(σ from m) < ⌜n⌝ , ⌜n0⌝ < #((σ from m) to n) ⊦ ((σ from m) to n)[n0] = ((σ to m + n) from m)[n0], # σ < ⌜m⌝ + ⌜n⌝ , ⌜m⌝ < # σ ∧ finp(σ)