Theorems · Theorem · number theory
zero_lt_four
∀ {α : Type u_1} [inst : AddMonoidWithOne α] [inst_1 : PartialOrder α] [ZeroLEOneClass α] [NeZero 1] [AddLeftMono α],
0 < 4See zero_lt_four' for a version with the type explicit.
- Defined in
- Mathlib.Algebra.Order.Monoid.NatCast
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- AddLeftMonostatement and proof · cited by 687
- zero_le_oneproof · cited by 316
- AddMonoidWithOnestatement and proof · cited by 313
- ZeroLEOneClassstatement and proof · cited by 304
- zero_lt_threeproof · cited by 10
- lt_add_of_lt_of_nonnegproof · cited by 6
- three_add_one_eq_fourproof · cited by 3
Cited by8
Results whose statement or proof uses this declaration.
- four_posproof · cited by 5
- IsUpperSet.exists_subset_ballproof · cited by 2
- IsLowerSet.exists_subset_ballproof · cited by 2
- FormalMultilinearSeries.comp_summable_nnrealproof · cited by 2
- SzemerediRegularity.hundred_lt_pow_initialBound_mulproof · cited by 1
- Bertrand.real_main_inequalityproof · cited by 1
- Complex.isPrimitiveRoot_Iproof · cited by 1
- zero_lt_four'proof · cited by 0