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Theorem ins

⊦ st[a] = d ∧ a ∈ st → st[a, d] = st

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: inj-put-01, ins-same, subset-size,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas: At-other, in-neq, At-same, In-insert, Extension,
Used spec theorems:
- Used simplifier rules: