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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: Data-in-delput, Data-in-delput-2, Data-in-putdel, Data-in-putdelput, Data-notin-other, del-put, del-putsame, delete-put-rew, eq-shift-put, indef, indef-01, ins, ins-same, ins3, insert, insins, rew, subset-put-strong-03, subset-put-strong-04, subset-put-strong-05,
Used by units in proved state:
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: