Theorems · Theorem
Decidable.exists_ne
∀ {α : Type u_1} [Nontrivial α] [DecidableEq α] (x : α), ∃ y, y ≠ x- Defined in
- Mathlib.Logic.Nontrivial.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- NontrivialDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nontrivialstatement and proof · cited by 2,416
- exists_pair_neproof · cited by 32
Cited by3
Results whose statement or proof uses this declaration.
- exists_neproof · cited by 101
- exists_one_lt'proof · cited by 1
- exists_zero_ltproof · cited by 1