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Theorem validrefs-prefix

⊦ ¬ validrefs(str, refs, ty, st) → ¬ validrefs(str, refs + refs0, ty, st)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 11
Proof steps: 33
Used lemmas: validrefs-null-02, validrefs-array, validrefs-class, validrefs-is-junk, validrefs-null, validrefs-empty,
Used spec theorems:
- addfuns/is-valid-ref-stronger-def
Used simplifier rules:
- int-abs/lels-03
- int-abs/lels-04
- int-abs/forward-le-01
- int-abs/forward-le-05
- int-abs/lels
- int-abs/lels-01
- javavalue/sel-09
- fieldspec/sel-03
- javavalue/test-19
- javavalue/elim-13
- list/references/e-01
- list-data/references/elim-list-c
- list/references/first-01
- fieldspec/elim
- list/references/app-02-ant
- list/references/c
- list/references/Nil
- list/references/a