Theorems · Theorem · logic and foundations
Equiv.sumCompl_symm_apply_of_pos
∀ {α : Type u_9} {p : α → Prop} [inst : DecidablePred p] {a : α} (h : p a), (Equiv.sumCompl p).symm a = Sum.inl ⟨a, h⟩- Defined in
- Mathlib.Logic.Equiv.Sum
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
- Assumes
- DecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- Equiv.sumComplstatement · cited by 23
Cited by7
Results whose statement or proof uses this declaration.
- Equiv.extendSubtype_apply_of_memproof · cited by 3
- Equiv.Perm.subtypeCongr.applyproof · cited by 2
- Finpartition.IsEquipartition.exists_partsEquivproof · cited by 1
- Equiv.sumCompl_symm_apply_posproof · cited by 1
- Equiv.Set.sumCompl_symm_apply_of_memproof · cited by 1
- FirstOrder.Language.empty.isFraisseLimit_of_countable_infiniteproof · cited by 1
- Matrix.exists_rank_normal_formproof · cited by 0