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Theorem inj-put-01

⊦ a ≠ b → (st[a, d][b, d0] = st[b, d0] ↔ a ∈ st ∧ st[a] = d)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: In-insert, notmemlookup, ins, At-same, At-other, in-neq, Extension, ins-same-01,
Used spec theorems:
- Used simplifier rules: