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Theorem in-neq

⊦ a ≠ b → (a ∈ st[b, d] ↔ a ∈ st)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: del-exists, del-put, delete-put-rew, eq-shift-del, eq-shift-put, ext-rec, inj-put, inj-put-01, ins, ins3, insert, insins, k-Del-rec2, rew, subset-put, subset-put-01, subset-put-02, subset-put-strong-03, subset-put-strong-04, subset-put-strong-05, sw,
Used by units in proved state: path-reachable, ostore, store+set,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: In-insert,
Used spec theorems:
- Used simplifier rules: