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Theorem validref-nopath-superset

⊦ validrefnotnull(str, r, st[r -- _type] .type, st) ∧ st ⊆ st0 ∧ newref(r1, st) → ¬ path∃(str, r, r1, st0)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 14
Used lemmas: validrefs-subset-notnew, validrefs-one, pathex-def,
Used spec theorems:
- addfuns/is_valid_ref-new
- junkrefs/validrefnotnull-def
Used simplifier rules:
- list/references/in-06
- list/references/Last
- list-last/references/butlast-last
- list-last/references/l-02
- junkrefs/validref-newref
- addfuns/is_valid_ref-type
- list-last/references/l
- list/references/app
- list/references/a
- list/references/e-01
- list/references/c
- list-data/references/elim-list-c
- junkrefs/validrefnotnull-notnull
- storefuns/newref-01