Theorems · Theorem · logic and foundations
Decidable.eq_or_ne
∀ {α : Sort u_1} (x y : α) [Decidable (x = y)], x = y ∨ x ≠ y- Defined in
- Mathlib.Logic.Basic
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- Decidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- dec_emproof · cited by 2
Cited by28
Results whose statement or proof uses this declaration.
- Function.update_applyproof · cited by 23
- PiLp.nnnorm_singleproof · cited by 4
- Pi.mulSingle_apply_commuteproof · cited by 3
- Finset.mem_sigmaLiftproof · cited by 3
- Pi.single_apply_addCommuteproof · cited by 3
- Finsupp.antidiagonal_singleproof · cited by 2
- DirectSum.coe_of_applyproof · cited by 2
- Nat.length_digits_le_length_digits_succproof · cited by 2
- Matrix.mem_range_scalar_of_commute_singleproof · cited by 2
- lp.norm_singleproof · cited by 1
- Nat.sum_divisors_eq_sum_properDivisors_add_selfproof · cited by 1
- Matrix.blockDiagonal'_diagonalproof · cited by 1