Theorems · Theorem · order theory
IndexedPartition.class_of
∀ {ι : Type u_1} {α : Type u_2} {s : ι → Set α} (hs : IndexedPartition s) {x : α},
Set.ofPred (hs.setoid x) = s (hs.index x)- Defined in
- Mathlib.Data.Setoid.Partition
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.ofPredstatement · cited by 6,101
- Set.extproof · cited by 2,266
- IndexedPartitionstatement and proof · cited by 33
- IndexedPartition.indexstatement · cited by 22
- IndexedPartition.mem_iff_index_eqproof · cited by 8
- IndexedPartition.setoidstatement · cited by 3
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