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Theorems · Theorem · order theory

IndexedPartition.equivQuotient_index_apply

∀ {ι : Type u_1} {α : Type u_2} {s : ι → Set α} (hs : IndexedPartition s) (x : α),
  hs.equivQuotient (hs.index x) = hs.proj x
Defined in
Mathlib.Data.Setoid.Partition
Cited by
1 results in Mathlib
Foundations
Depth 15 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.

IndexedPartition.equivQuotient_index · cited by 0IndexedPartition.equivQuo…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetEquiv · cited by 8337EquivIndexedPartition · cited by 33IndexedPartitionIndexedPartition.index · cited by 22IndexedPartition.indexIndexedPartition.Quotient · cited by 9IndexedPartition.QuotientIndexedPartition.proj · cited by 8IndexedPartition.projIndexedPartition.equivQuotient · cited by 4IndexedPartition.equivQuo…IndexedPartition.some_index · cited by 3IndexedPartition.some_ind…IndexedPartition.proj_eq_iff · cited by 1IndexedPartition.proj_eq_…IndexedPartition.equivQuotien…CITED BYCITES

Cites10

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Cited by1

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