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Theorem add-ls-cancel-num-04
⊦ m ≤ n → (⌜(* m)⌝ + n∞2 < ⌜(* n)⌝ + n∞1 ↔ n∞2 < ⌜n - m⌝ + n∞1)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
eqls-succ
,
less-less-leftsucc
,
ls-notlssucc
,
Used by units in proved state:
stream
,
stut-mon
,
mon-lim-filter-count
,
infinite-append
,
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas:
add-comm
,
add-ls-cancel-01
,
add-assoc
,
add-fin
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
a
nat-basic2
/
c
nat
/
elim-sub