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Theorem ext-rec

⊦ st1 = st0(a := d) ↔ a ∈ st1 ∧ st1(a) = d ∧ (∀ b. a ≠ b → (b ∈ st0 ↔ b ∈ st1) ∧ (b ∈ st0 → st0(b) = st1(b)))

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: 4
Proof steps: 6
Used lemmas: notmemlookup, Extension, In-insert, At-other, in-neq, At-same,
Used spec theorems:
- Used simplifier rules: