fromSpecStalkOfMem_toPartialMap — Mathlib

English

The fromSpecStalkOfMem for a morphism f: X ⟶ Y and any x equals X.fromSpecStalk x followed by f, i.e., the base case toPartialMap.

Русский

fromSpecStalkOfMem для отображения f: X ⟶ Y равен X.fromSpecStalk x затем f (базовый случай toPartialMap).

LaTeX

$$$$ f^{\\mathrm{toPartialMap}}.fromSpecStalkOfMem (x := x) \\text{ (trivial) } = X.fromSpecStalk x \\; \\gg f $$$$

Lean4

@[simp]
theorem fromSpecStalkOfMem_toPartialMap (f : X ⟶ Y) (x) :
    f.toPartialMap.fromSpecStalkOfMem (x := x) trivial = X.fromSpecStalk x ≫ f := by simp [fromSpecStalkOfMem]

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