map_comp_ιMulti — Mathlib

English

The standard presentation of wedge^n M is given by the isPresentationCore data; wedge^n M is presented by the isPresentation core.

Русский

Стандартная презентация ⋀^n_R M задаётся данными isPresentationCore; ⋀^n_R M имеет презентацию через ядро презентации.

LaTeX

$$$\\text{presentation}(R, n, M) = \\text{isPresentationCore}(R,n,M)$$$

Lean4

@[simp]
theorem map_comp_ιMulti (f : M →ₗ[R] N) : (map n f).compAlternatingMap (ιMulti R n) = (ιMulti R n).compLinearMap f := by
  simp only [map, alternatingMapLinearEquiv_comp_ιMulti]

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