Theorems · Theorem · logic and foundations
Equiv.Set.sumCompl_symm_apply_compl
∀ {α : Type u_3} {s : Set α} [inst : DecidablePred fun x => x ∈ s] (x : ↑sᶜ), (Equiv.Set.sumCompl s).symm ↑x = Sum.inr x- Defined in
- Mathlib.Logic.Equiv.Set
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
- Assumes
- DecidablePred
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Equiv.symmstatement · cited by 3,681
- Compl.complstatement and proof · cited by 2,925
- Equiv.Set.sumComplstatement · cited by 16
- Equiv.sumCompl_symm_apply_negproof · cited by 1
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