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Theorem below-nonempty

⊦ ns ≠ ∅ ∧ n ≠ 0 → below(ns, ns.min + n) ≠ ∅

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: in-below,
Used spec theorems:
- set-basic/nat-set/Extension
Used simplifier rules:
- set-basic/nat-set/size-zero
- set-basic/nat-set/size-zero-01
- set-basic/nat-set/In-empty
- nat-basic/l-01
- nat-basic/a
- nat-basic/c
- oset/nat-set/min-inn