[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 43 from proof pop-corr (previous step)

buf .size = n→i(# buf .data), a ' + x = tolist(buf, 1 + # x), buf .len = n→i(# x) + 1, 0 ≤ buf .len, buf .len ≤ buf .size, 0 ≤ buf .first, buf .first < buf .size, 0 < buf .size ⊦ buf .size = 0, # buf .data = 0, n→i(# x) ≤ buf .size ∧ 0 ≤ (buf .first + 1) % buf .size

User applied rule case distinction

And obtained the following new goals

Proof step 39:
buf .size = n→i(# buf .data), a ' + x = tolist(buf, 1 + # x), buf .len = n→i(# x) + 1, 0 ≤ buf .len, buf .len ≤ buf .size, 0 ≤ buf .first, buf .first < buf .size, 0 < buf .size ⊦ n→i(# x) ≤ buf .size, buf .size = 0, # buf .data = 0
Proof step 42:
buf .size = n→i(# buf .data), a ' + x = tolist(buf, 1 + # x), buf .len = n→i(# x) + 1, 0 ≤ buf .len, buf .len ≤ buf .size, 0 ≤ buf .first, buf .first < buf .size, 0 < buf .size ⊦ 0 ≤ (buf .first + 1) % buf .size, buf .size = 0, # buf .data = 0

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]