Theorems · Theorem · logic and foundations
eq_or_ne
∀ {α : Sort u_1} (x y : α), x = y ∨ x ≠ y- Defined in
- Mathlib.Logic.Basic
- Cited by
- 1,117 results in Mathlib
- Foundations
- Depth 11 from the axioms, rests on 43 definitions · uses propext, Classical.choice, Quot.sound
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.
- emproof · cited by 115
Cited by1,117
Results whose statement or proof uses this declaration.
- Filter.eq_or_neBotproof · cited by 62
- smul_eq_zeroproof · cited by 40
- Ordinal.opow_zeroproof · cited by 38
- eq_zero_or_neZeroproof · cited by 36
- Real.log_powproof · cited by 29
- MeasureTheory.integral_smul_measureproof · cited by 22
- Nat.mem_divisorsproof · cited by 22
- MeasureTheory.Measure.map_smulproof · cited by 21
- Ideal.span_singleton_powproof · cited by 19
- Polynomial.natDegree_add_Cproof · cited by 18
- Nat.factorization_powproof · cited by 17
- ENNReal.le_div_iff_mul_leproof · cited by 15
Showing the 200 most cited of 1,117.