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Theorem valid-indices-nodups-h

⊦ n ≤ # ar → ¬ dups(ar.indicesWhere(φ, n))

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: map-ifn-at, valid-indices-nodups,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 12
Used lemmas: valid-indices-indiceswhere-h-strong, indiceswhere-rec, indiceswhere-base,
Used spec theorems:
- list-dup/nat-list/dups-appex
Used simplifier rules:
- nat/lez
- list-dup/nat-list/e-01
- nat-basic1/f
- list/nat-list/c
- nat-basic2/c
- nat-basic2/a
- nat/succ-01
- nat-basic2/succ
- list/nat-list/in-17
- list-dup/nat-list/c
- nat/lels-03
- oelem/nat-set/irreflexivity
- list/nat-list/a
- list/nat-list/app