Theorems · Theorem · number theory
two_pos
∀ {α : Type u_1} [inst : AddMonoidWithOne α] [inst_1 : PartialOrder α] [ZeroLEOneClass α] [NeZero 1] [AddLeftMono α],
0 < 2Alias of zero_lt_two.
See zero_lt_two' for a version with the type explicit.
- Defined in
- Mathlib.Algebra.Order.Monoid.NatCast
- Cited by
- 68 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext
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.
- PartialOrderstatement · cited by 6,410
- AddLeftMonostatement · cited by 687
- AddMonoidWithOnestatement · cited by 313
- ZeroLEOneClassstatement · cited by 304
- zero_lt_twoproof · cited by 124
Cited by68
Results whose statement or proof uses this declaration.
- round_eqproof · cited by 8
- norm_jacobiTheta₂_term_leproof · cited by 5
- Complex.Gammaℝ_ne_zero_of_re_posproof · cited by 5
- HurwitzKernelBounds.summable_f_natproof · cited by 5
- summable_jacobiTheta₂_term_iffproof · cited by 4
- IsCyclotomicExtension.discr_prime_pow_ne_twoproof · cited by 4
- midpoint_mem_openSegmentproof · cited by 3
- VectorField.mpullback_mlieBracketWithinproof · cited by 3
- DoubleCentralizer.norm_fst_eq_sndproof · cited by 3
- quadraticChar_eq_pow_of_char_ne_two'proof · cited by 3
- hasSum_mellin_pi_mul_sqproof · cited by 3
- preNormEDS'_evenproof · cited by 3