[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 In-insert (conclusion)

⊦ a ∈ insert(b, d, st) ↔ a = b ∨ a ∈ st

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 2:
⊦ a ∈ st[b, d] ↔ a = b ∨ a ∈ st

Rule argument

spec: store inst: name: In-insert seq: ⊦ a ∈ st[b, d] ↔ a = b ∨ a ∈ st subst: [a, st, b, d] → [a, st, b, d] flags:

Additional information

Used simplifier rules: insert-def: ⊦ st[a, d] = insert(a, d, st); from specification lookup Used terms: a, st, b, d