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Theorem at-put

⊦ inv(T, h) → T[h(a), slot][h(b)] = (h(a) = h(b) ⊃ slot;T[h(b)])

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas: inv,
Used spec theorems:
- array/table/Put-same
Used simplifier rules:
- array/table/Put-other
- nat/lels
- nat/ls-le-simp