kernelFork — Mathlib

English

The composition ι.f 0 followed by d 0 1 is zero: ι.f 0 ≫ cocomplex.d 0 1 = 0.

Русский

Сложение ι.f 0 и cocomplex.d 0 1 равно нулю: ι.f 0 ≫ cocomplex.d 0 1 = 0.

LaTeX

$$$$I.\\!\\iota.f(0) \\;\\gg \\; I.cocomplex.d(0,1) = 0.$$$$

Lean4

/-- The (limit) kernel fork given by the composition
`Z ⟶ I.cocomplex.X 0 ⟶ I.cocomplex.X 1` when `I : InjectiveResolution Z`. -/
@[simp]
def kernelFork : KernelFork (I.cocomplex.d 0 1) :=
  KernelFork.ofι _ I.ι_f_zero_comp_complex_d

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