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Theorem validrefs-nodups-01

validrefs(str, refs, ty, st) ∧ refs ≠ [] ⊦ ∃ refs0. validrefs(str, refs0, ty, st) ∧ refs0 ≠ [] ∧ refs0 .last = refs .last ∧ refs .first = refs0 .first ∧ ¬ dups(refs0)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: pathex-def-nodups,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 11
Used lemmas: validrefs-delcycle-01,
Used spec theorems:
- list-dup/references/dups
Used simplifier rules:
- list/references/e
- list/references/app-02-ant
- list/references/len
- list/references/len-02
- nat-basic2/l
- nat-basic1/one
- nat-basic2/z-01
- nat-basic2/a
- nat-basic2/c
- nat/add-num-03
- list/references/first-02
- list-last/references/lapp-01
- list/references/a
- list/references/e-03
- list/references/c