ker — Mathlib

English

A corollary variant of the previous ker_le statement under similar hypotheses.

Русский

Следствие по аналогии к предыдущему утверждению о ядре.

LaTeX

$$same as 20254 but with alternate presentation$$

Lean4

/-- The kernel of a linear map `f : M → M₂` is defined to be `comap f ⊥`. This is equivalent to the
set of `x : M` such that `f x = 0`. The kernel is a submodule of `M`. -/
def ker (f : F) : Submodule R M :=
  comap f ⊥

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