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Theorem below-rem-notin

n ≤ m ⊦ below(ns -- m, n) = below(ns, n)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: in-below,
Used spec theorems:
- set-basic/nat-set/Extension
Used simplifier rules:
- set-union/nat-set/Delete
- nat/le-ls-simp