[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 2 from proof fwd-in-gstore-loghead (previous step)

ginval ∩ elems nx = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval ⊦ nx = [], nx.last ∈ gstore

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ nx = [] ↔ ¬(∃ nx0, n. nx = nx0 + n ')
Proof step 4:
ginval ∩ elems nx = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval ⊦ nx.last ∈ gstore, ∀ nx0, n. nx ≠ nx0 + n '

Rule argument

spec: list, inst: nat-list-set name: lastdiv-rew seq: ⊦ nx = [] ↔ ¬(∃ nx0, n. nx = nx0 + n ') subst: [nx] → [nx] flags: <all paths>

Additional information

Used terms: nx