IsEquiv — Mathlib

English

For f in 1-simplex, the real sum of the two coordinates equals 1: (f 0) + f 1 = 1.

Русский

Для f из 1-мерного простейшего сумма координат равна 1: f(0) + f(1) = 1.

LaTeX

$$$\\forall f \\in (\\langle 1 \\rangle).toTopObj,\\; (f(0) : \\mathbb{R}) + f(1) = 1$$$

Lean4

/-- Two absolute values `v` and `w` are *equivalent* if `v x ≤ v y` precisely when
`w x ≤ w y`.

Note that for real absolute values this condition is equivalent to the existence of a positive
real number `c` such that `v x ^ c = w x` for all `x`. See
`AbsoluteValue.isEquiv_iff_exists_rpow_eq`. -/
def IsEquiv : Prop :=
  ∀ x y, v x ≤ v y ↔ w x ≤ w y

Похожие утверждения