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Theorems · Theorem · category theory

subtype_val_mono

∀ {α : Type u} (s : Set α), CategoryTheory.Mono (TypeCat.ofHom Subtype.val)
Defined in
Mathlib.CategoryTheory.Subobject.Types
Cited by
4 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Types.monoOverEquivalenceSet_inverse_map · cited by 0Types.monoOverEquivalence…Types.monoOverEquivalenceSet_inverse_obj · cited by 0Types.monoOverEquivalence…Types.monoOverEquivalenceSet_unitIso · cited by 0Types.monoOverEquivalence…Types.monoOverEquivalenceSet_counitIso · cited by 0Types.monoOverEquivalence…Set · cited by 53352SetCategoryTheory.Mono · cited by 893CategoryTheory.MonoTypeCat.ofHom · cited by 389TypeCat.ofHomSubtype.val_injective · cited by 232Subtype.val_injectiveCategoryTheory.mono_iff_injective · cited by 20CategoryTheory.mono_iff_i…subtype_val_monoCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.