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Theorem key-set-write-last

m < # kar ⊦ keyset(kar[m, ki], m + 1) = keyset(kar, m) ++ ki

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: key-set-write-other, keyset-rec,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/f
  - nat/ler
  - array/key-index-array/Put-same
  - array/key-index-array/Size-put
  - nat/lels
  - nat/ls-le-simp