ρFunctorObj_π — Mathlib

English

The relation between ρFunctorObj and πFunctorObj is given by the identity ρFunctorObj f πX ≫ πFunctorObj f πX = π'FunctorObj f πX.

Русский

Связь между ρFunctorObj и πFunctorObj задаётся равенством ρFunctorObj f πX ≫ πFunctorObj f πX = π'FunctorObj f πX.

LaTeX

$$$ \rhoFunctorObj f \piX \;\circ\; \piFunctorObj f \piX = \pi'FunctorObj f \piX $$$

Lean4

@[reassoc (attr := simp)]
theorem ρFunctorObj_π : ρFunctorObj f πX ≫ πFunctorObj f πX = π'FunctorObj f πX := by simp [πFunctorObj]

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