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Theorem ad

⊦ a ∈ y → perm(x + (y -1l a), (x + y) -1l a)

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: 3
Proof steps: 7
Used lemmas: in-05, oc-zero, del1, oc-del-01, del1-01, ocappend, msubset, perm,
Used spec theorems:
- Used simplifier rules:
  - list/a
  - nat-basic/f
  - nat/le-def
  - nat-basic/l
  - nat-basic/refl-nat
  - nat-basic/a
  - nat-basic/c
  - nat/pred-03
  - nat-basic/z-01
  - nat-basic/one-01
  - nat/ls-01
  - nat-basic/s-04
  - nat/lep-02
  - nat/ls-03
  - nat/sub-ls