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Theorem eq-put2

⊦ (ar[n0 := a])[n1 := b] = (ar[n1 := b])[n0 := a] ↔ n0 ≠ n1 ∨ ¬ n0 < # ar ∨ a = b

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas: put-put-get-neq, cgetput, Put-other, Put-same, cputput, Size-put, Extension,
Used spec theorems:
- Used simplifier rules: