[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 1 from proof abs-dirs-gc-copy (conclusion)

# ax = # kx ⊦ new(ax, fs) ∧ kx.toSet ⊆ dom ri ∧ ¬ dups(kx) ∧ ¬ dups(ax) ∧ ri-cons(ri, fs) → abs-dirs(fs[ax, fs[ri[kx]]], ri[kx, ax]) = abs-dirs(fs, ri)

System applied rule normalize

And obtained the following new goals

Proof step 2:
# ax = # kx, new(ax, fs), ri-cons(ri, fs), kx.toSet ⊆ dom ri ⊦ abs-dirs(fs[ax, fs[ri[kx]]], ri[kx, ax]) = abs-dirs(fs, ri), dups(ax), dups(kx)

Proof step 1 from proof abs-dirs-gc-copy (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information