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Theorem size-from-less
⊦ ¬ # σ < ⌜n⌝ → (#(σ from n) < ⌜n0⌝ ↔ # σ < ⌜n + n0⌝ )
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
inf-app-list
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas:
size-inf
,
from-inf
,
length-from
,
size-fin
,
from-fin
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
c
nat-basic2
/
a
nat-inf
/
add-fin
nat-inf
/
less-inf1
nat-inf
/
ls-lsadd
nat-inf
/
add-assoc
nat-inf
/
add-comm
nat-inf
/
less-fin
nat
/
lels-01
nat
/
ls-01
nat-inf
/
ls-natinf-to-nat-1-2
nat
/
lels
nat
/
ls-le-simp