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Theorem mult-eq-same
⊦ dec ≠ mkDecimal(0, 0) → (dec_i * dec = dec_j * dec ↔ dec_i = dec_j)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
decimal-complex-ops
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 22
Used lemmas:
mult-def-any
,
Used spec theorems:
int-pot
/
pot-dist-pos
decimal
/
mkDecimal-zero
int-mult
/
eq-nonzero
decimal
/
equality-any
Used simplifier rules:
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
abs-abs-01
int-abs
/
abs-03
int-mult
/
Mult-zero
int-abs
/
absls
int-pot
/
pot-zero-01
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
eq-nonzero