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Theorem notin-del-notin

⊦ ¬ a ∈ st → st -- a = st

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: deldel, indef-01, k-Del-rec1, rem-eq, subset-size,
Used by units in proved state: ostore, store+set,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas: Del-at, notmemlookup, lookupisempty, Del-notin, Del-in, Extension,
Used spec theorems:
- Used simplifier rules: