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Theorem lsle-trans

⊦ n∞ < n∞1 ∧ ¬ n∞2 < n∞1 → n∞ < n∞2

Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by: lele-trans, lels-trans, less-less-leftsucc, ls-trans,
Used by units in proved state: stream, stut-mon, mon-lim-filter-count, streamseq-mon-lim, infinite-append,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: less-inf1, less-fin, inf-less,
Used spec theorems:
- Used simplifier rules:
  - nat/lels
  - nat/fle-01
  - nat-basic1/f
  - nat/fle
  - nat/let
  - nat/le-ls-simp