Nuprl Definition : strictly-increasing-on-interval
f[x] strictly-increasing for x ∈ I == ∀x,y:{x:ℝ| x ∈ I} . ((x < y) ⇒ (f[x] < f[y]))
Definitions occuring in Statement :
i-member: r ∈ I,
rless: x < y,
real: ℝ,
all: ∀x:A. B[x],
implies: P ⇒ Q,
set: {x:A| B[x]}
Definitions occuring in definition :
all: ∀x:A. B[x],
set: {x:A| B[x]} ,
real: ℝ,
i-member: r ∈ I,
implies: P ⇒ Q,
rless: x < y
FDL editor aliases :
strictly-increasing-on-interval
Latex:
f[x] strictly-increasing for x \mmember{} I == \mforall{}x,y:\{x:\mBbbR{}| x \mmember{} I\} . ((x < y) {}\mRightarrow{} (f[x] < f[y]))
Date html generated:
2016_05_18-AM-10_19_30
Last ObjectModification:
2015_09_23-AM-09_15_32
Theory : reals
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