Theorems · Theorem · number theory
zero_le_two
∀ {α : Type u_1} [inst : AddMonoidWithOne α] [inst_1 : Preorder α] [ZeroLEOneClass α] [AddLeftMono α], 0 ≤ 2- Defined in
- Mathlib.Algebra.Order.Monoid.NatCast
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- AddLeftMonostatement and proof · cited by 687
- zero_le_oneproof · cited by 316
- AddMonoidWithOnestatement and proof · cited by 313
- ZeroLEOneClassstatement and proof · cited by 304
- add_nonnegproof · cited by 104
- one_add_one_eq_twoproof · cited by 65
Cited by44
Results whose statement or proof uses this declaration.
- Real.sin_pi_over_two_pow_succproof · cited by 6
- abs_twoproof · cited by 4
- ZMod.valMinAbs_mem_Iocproof · cited by 3
- Besicovitch.exists_goodδproof · cited by 3
- add_one_pow_unbounded_of_posproof · cited by 3
- norm_jacobiTheta₂_term_fderiv_leproof · cited by 2
- midpoint_le_midpointproof · cited by 2
- pow_mul_le_of_le_of_pow_mul_leproof · cited by 2
- Chebyshev.abs_psi_sub_theta_le_sqrt_mul_logproof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.volume_normLeOneproof · cited by 2
- sum_mul_eq_sub_integral_mul₁proof · cited by 2
- AddCircle.closedBall_ae_eq_ballproof · cited by 2