const_comp' — Mathlib

English

The swap and copy operations satisfy: swap α α ∘ₖ copy α = copy α.

Русский

Операции swap и copy удовлетворяют: swap α α ∘ копирование α = copy α.

LaTeX

$$[simp] theorem swap_copy : (swap α α) ∘ₖ (copy α) = copy α$$

Lean4

@[simp]
theorem const_comp' (μ : Measure γ) (κ : Kernel α β) [IsMarkovKernel κ] : const β μ ∘ₖ κ = const α μ := by ext;
  simp_rw [const_comp, measure_univ, one_smul, const_apply]

Похожие утверждения