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Theorem ex-validrefs-fits

validrefs(str, refs, ty, st), refs ≠ [] ⊦ ∃ sks. fits(refs .first, sks, st) ∧ st[refs .first -- sks] .refval = refs .last

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: disjoint-def-fits,
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: ex-validrefs-fits-stronger,
Used spec theorems:
- list-del/references/get-last2
Used simplifier rules:
- list-last/references/l-02
- list-data/references/size-01
- list-data/storekeys/l
- list/references/app
- list-last/references/l
- storefuns/lookup-empty
- javavalue/sel-09
- list-del/storekeys/first-all-01
- nat-basic1/ref-1
- list-data/references/l
- nat/lels-01
- nat-basic1/z
- list/references/c-08
- nat-basic2/c
- nat-basic2/a
- nat-basic2/eq-01
- list/references/len-02
- list/references/len
- list/references/app-02-ant
- list/references/e
- list/references/a
- list/references/e-01
- list/references/c
- list-data/references/elim-list-c