Theorems · Theorem · order theory
abs_two
∀ {α : Type u_1} [inst : Ring α] [inst_1 : LinearOrder α] [IsOrderedRing α], |2| = 2- Defined in
- Mathlib.Algebra.Order.Ring.Abs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- Assumes
- RingLinearOrderIsOrderedRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Ringstatement and proof · cited by 7,463
- absstatement · cited by 1,814
- IsOrderedRingstatement and proof · cited by 777
- abs_of_nonnegproof · cited by 279
- zero_le_twoproof · cited by 44
Cited by4
Results whose statement or proof uses this declaration.
- ConvexOn.isBoundedUnder_absproof · cited by 2
- ModularGroup.abs_two_mul_re_lt_one_of_mem_fdoproof · cited by 1
- Summable.tendsto_zero_of_even_summable_symmetricIccproof · cited by 1
- AddCircle.norm_half_period_eqproof · cited by 1