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Theorems · Definition · category theory

CategoryTheory.Limits.Types.isInitialPEmpty

CategoryTheory.Limits.IsInitial PEmpty.{u + 1}

The initial object in Type u is PEmpty.

Defined in
Mathlib.CategoryTheory.Limits.Types.Coproducts
Cited by
1 results in Mathlib
Foundations
Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Limits.Types.initial_iff_empty · cited by 3Types.initial_iff_emptyCategoryTheory.Limits.Types.isInitialPunit · cited by 0Types.isInitialPunitCategoryTheory.Limits.IsInitial · cited by 158Limits.IsInitialCategoryTheory.Limits.initialIsInitial · cited by 35Limits.initialIsInitialCategoryTheory.Limits.IsInitial.ofIso · cited by 15IsInitial.ofIsoCategoryTheory.Limits.Types.initialIso · cited by 0Types.initialIsoTypes.isInitialPEmptyCITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.