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Theorem app-beg-beg

⊦ perm(x + y, x + z) ↔ perm(y, z)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: a, app-in-beg, cons, papp-02, papp-03, perm-com1, perm-com2, perm-dups-02, perm-dups-03, perm-rec, perm-rmcommon-beg-beg, perm-rmv-in-list, perm-shift-in2, perm-shift-out2, shift-03,
Used by units in proved state: olist-sort, olist,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 7
Used lemmas: oc-zero, ocappend, msubset, perm,
Used spec theorems:
- Used simplifier rules:
  - nat-basic/c
  - nat-basic/a
  - nat/lep-02
  - list/a
  - nat-basic/f
  - nat/le-def
  - nat/le-ls-simp