projIccCM — Mathlib

English

There is a natural continuous map embedding the right subinterval Icc b c into Icc a c; this is an order-preserving embedding from the right.

Русский

Существует вложение правого подотрезка Icc b c в Icc a c, сохраняющее порядок.

LaTeX

$$$\\text{IccInclusionRight} : C(Icc b c, Icc a c)$$$

Lean4

/-- The map `projIcc` from `α` onto an interval in `α`, as a `ContinuousMap`. -/
def projIccCM : C(α, Icc a b) :=
  ⟨projIcc a b Fact.out, continuous_projIcc⟩

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