coe_mk — Mathlib

English

The map_comp_comulAlgHom compatibility holds for all f in F: (Algebra.TensorProduct.map f f) ∘ comulAlgHom_A = comulAlgHom_B ∘ f.

Русский

Совместимость map_comp_comulAlgHom для любого f в F: (Algebra.TensorProduct.map f f) ∘ comulAlgHom_A = comulAlgHom_B ∘ f.

LaTeX

$$$((\\mathrm{Algebra.TensorProduct.map} f f) \\circ (\\mathrm{comulAlgHom} \\, R A)) = (\\mathrm{comulAlgHom} \\, R B) \\circ f$$$

Lean4

@[simp]
theorem coe_mk {f : A →ₗc[R] B} (h h₁) : ((⟨f, h, h₁⟩ : A →ₐc[R] B) : A → B) = f :=
  rfl

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