Theorems · Theorem · order theory
Set.image_val_sUnion
∀ {α : Type u_2} {A : Set α} {T : Set (Set ↑A)}, Subtype.val '' ⋃₀ T = ⋃₀ {x | ∃ B ∈ T, Subtype.val '' B = x}- Defined in
- Mathlib.Data.Set.Subset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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.Elemstatement and proof · cited by 7,166
- Set.ofPredstatement and proof · cited by 6,101
- Set.imagestatement and proof · cited by 5,609
- Set.sUnionstatement and proof · cited by 392
- Set.image_sUnionproof · cited by 5
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