Theorems · Theorem · logic and foundations
PFun.preimage_asSubtype
∀ {α : Type u_1} {β : Type u_2} (f : α →. β) (s : Set β), f.asSubtype ⁻¹' s = Subtype.val ⁻¹' f.preimage s- Defined in
- Mathlib.Data.PFun
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
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Cites11
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.preimagestatement · cited by 4,946
- Set.extproof · cited by 2,266
- PFunstatement and proof · cited by 207
- PFun.Domstatement and proof · cited by 28
- Part.mem_uniqueproof · cited by 18
- PFun.preimagestatement · cited by 18
- PFun.fnproof · cited by 6
- Part.get_memproof · cited by 6
- PFun.asSubtypestatement · cited by 2
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