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Theorem valid-group-nodes-drop

⊦ n ≤ valid-group-nodes(prefixn(n, gndx)) → valid-group-nodes(prefixn(n, gndx)) = # prefixn(n, gndx)

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: 1
Proof steps: 3
Used lemmas: valid-group-nodes-ls, valid-group-nodes-le,
Used spec theorems:
- list-prefixn/group-store/prefixn
Used simplifier rules:
- nat/le-def
- nat/le-ls-simp
- list-del/group-store/first-length
- nat/lels-02
- nat-basic/f
- list-del/group-store/firstn-length-04
- oelem/nat-set/irreflexivity