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Theorem monls-notsmall
⊦ mon<(nσ) ∧ nσ[0] = 0 ∧ ⌜n + 1⌝ < # nσ → (¬ n < nσ[n + 1] ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
monlsinf-notsmall
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 9
Used lemmas:
monls-def
,
Used spec theorems:
Used simplifier rules:
nat-basic1
/
zero
nat-inf
/
onels-neqzero
stream
/natstream/
size-empty-equiv
nat-basic1
/
lf-02
nat-basic1
/
lf-01
nat
/
lels
nat-basic2
/
succ
nat
/
le-one
nat-basic1
/
f
nat-basic2
/
l-02
nat-inf
/
ls-natinf-to-nat-2-1
nat-inf
/
add-ls-cancel-num-02
nat-inf
/
lsle-trans
nat-inf
/
add-fin
nat-basic2
/
a
nat-basic2
/
c
nat-inf
/
num-add
nat-inf
/
add-assoc
nat-inf
/
add-comm
nat
/
le-ls-simp