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Theorem eq-shift-del

⊦ ¬ a ∈ st → (st[a, d] = st0 ↔ st = st0 -- 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: 5
Proof steps: 14
Used lemmas: notmemlookup, At-other, in-neq, Del-at, Del-in, At-same, In-insert, k-Extension,
Used spec theorems:
- Used simplifier rules: