Theorems · Theorem · logic and foundations
Equiv.sumCompl_symm_apply_pos
∀ {α : Type u_9} {p : α → Prop} [inst : DecidablePred p] (x : { x // p x }), (Equiv.sumCompl p).symm ↑x = Sum.inl x- Defined in
- Mathlib.Logic.Equiv.Sum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- DecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Equiv.sumCompl_symm_apply_of_posproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Set.sumCompl_symm_applyproof · cited by 0