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Theorem mk-inj
⊦ m ≠ 0 → (mklist(a, m) = mklist(b, n) ↔ a = b ∧ m = n)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas:
mk-inj-01
,
mk-rec
,
mk-in
,
mk-elem
,
mk-last
,
mklist-one
,
mk-plus
,
Used spec theorems:
Used simplifier rules:
list
/
in-14
nat-basic2
/
oz
nat-basic2
/
succ
list
/
c
list
/
app-01
list
/
a
nat
/
lels-01
nat-basic1
/
one-01
nat
/
eq-02
nat-basic2
/
c
nat-basic2
/
a