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Theorem abs-dirs-gc-copy

# 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)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state: aubifs-refine,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: at-children, in-children, C-ext, D-inj, dir, at-dirs, in-dirs, D-ext,
Used spec theorems:
- aubifs-inv/read-lookup-copy
Used simplifier rules: