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Theorem eq-shift-put

⊦ a ∈ st → (st[a, d] = st0 ↔ st = st0[a, st[a]] ∧ a ∈ st0 ∧ st0[a] = d)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 18
Used lemmas: At-other, in-neq, In-insert, At-same, notmemlookup, Extension,
Used spec theorems:
- Used simplifier rules: