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English
strictly monotonic function
function between ordered sets that preserves or reverses the given strict order
strictly monotone function
strict monotone function
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Statements
subclass of
monotonic function
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injection
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defining formula
(
∀
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x
<
y
⟹
f
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<
f
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)
∨
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∀
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x
<
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⟹
f
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>
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{\displaystyle \left(\forall x,y\colon x<y\implies f(x)<f(y)\right)\lor \left(\forall x,y\colon x<y\implies f(x)>f(y)\right)}
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in defining formula
f
{\displaystyle f}
symbol represents
strictly monotonic function
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⟹
{\displaystyle \implies }
symbol represents
logical implication
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∨
{\displaystyle \lor }
symbol represents
logical disjunction
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<
{\displaystyle <}
symbol represents
strict order
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maintained by WikiProject
WikiProject Mathematics
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union of
list of values as qualifiers
list item
strictly increasing function
strictly decreasing function
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