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Theorem numeral-24
m1 ≠ 0 ⊦ m + n < (* m1) * m + n0 ↔ n < (m1 - 1) * m + n0
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
nonumsimp-lstwo
,
square-inject
,
square-interval
,
Used by units in proved state:
nat-div
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas:
mult-c
,
mult-a
,
rsucc-01
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
a
nat-basic2
/
c
nat-basic2
/
l
nat
/
elim-pred-c