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Theorem monls-append1

⊦ mon<(⌜nl⌝ + ⌜nl0⌝ ) → (¬ mon<(⌜nl⌝ ) ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: rem-preserves-monls,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: monls-def,
Used spec theorems:
- list-del/natstream/get-append-less
Used simplifier rules:
- list-data/natstream/l
- nat/lels
- stream/natstream/sel-fin
- nat-inf/ls-natinf-to-nat-2-1
- stream/natstream/get-append2-fin
- nat-inf/add-comm
- nat-inf/add-assoc
- nat-inf/ls-natinf-to-nat-2-2
- stream/natstream/append-assoc
- stream/natstream/size-fin
- stream/natstream/size-append
- nat/fle
- nat-basic1/f
- list-del/natstream/get-append-less
- nat-basic2/l-08
- nat-basic1/ref-1
- list-del/natstream/get-append-grt
- list/natstream/a
- nat-basic2/nls-fst
- nat-basic2/a
- nat-basic2/c