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Theorem eq

⊦ ins≤(a, x) = ins≤(a, y) ↔ x = y

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
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: 21
Used lemmas: ins-rec, ins-y, empty, ins-n, ins-e,
Used spec theorems:
- Used simplifier rules:
  - list/a
  - list/e
  - list/app-02
  - list/c
  - list/c-03
  - list/in-14
  - list/c-06
  - list/in-rec
  - weakord/lel
  - weakord/nen
  - weakord/irreflexivity
  - list-data/elim-add
  - list/len-01
  - list/one-01