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Theorem le-same
⊦ m * n + n0 ≤ m ↔ n = 0 ∧ n0 ≤ m ∨ m = 0 ∧ n0 = 0 ∨ n = 1 ∧ n0 = 0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 12
Used lemmas:
one
,
zero
,
coef-17
,
mult-c
,
mult-a
,
zero-06
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
l-02
nat
/
fle-01
nat-basic1
/
one-01
nat
/
eq-02
nat
/
lez
nat
/
elim-pred-c
nat
/
pred-03
nat
/
le-add
nat-basic2
/
z-01
nat-basic1
/
f
nat
/
lels-01
nat-basic2
/
add-base
nat-basic2
/
a
nat-basic2
/
c
nat-basic1
/
ref-1
nat
/
le-ls-simp