Theorems · Theorem · category theory

CategoryTheory.isIso_prod_iff

∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] (D : Type u₂) [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {P Q : C} {S T : D} {f : (P, S) ⟶ (Q, T)},
  CategoryTheory.IsIso f ↔ CategoryTheory.IsIso f.1 ∧ CategoryTheory.IsIso f.2

Defined in

Mathlib.CategoryTheory.Products.Basic

Cited by

1 results in Mathlib

Foundations

Depth 11 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Category