Mathlib Map

Theorems · Theorem · number theory

four_pos

∀ {α : Type u_1} [inst : AddMonoidWithOne α] [inst_1 : PartialOrder α] [ZeroLEOneClass α] [NeZero 1] [AddLeftMono α],
  0 < 4

Alias of zero_lt_four. See zero_lt_four' for a version with the type explicit.

Defined in
Mathlib.Algebra.Order.Monoid.NatCast
Cited by
5 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext
Assumes
AddMonoidWithOnePartialOrderZeroLEOneClassNeZeroAddLeftMono
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Bertrand.real_main_inequality · cited by 1Bertrand.real_main_inequa…primorial_lt_four_pow · cited by 1primorial_lt_four_powstrictConcaveOn_sqrt_mul_log_Ioi · cited by 1strictConcaveOn_sqrt_mul_…WeierstrassCurve.natDegree_Ψ₃_pos · cited by 1WeierstrassCurve.natDegre…RootPairing.coxeterWeightIn_le_four · cited by 1RootPairing.coxeterWeight…PartialOrder · cited by 6410PartialOrderAddLeftMono · cited by 687AddLeftMonoAddMonoidWithOne · cited by 313AddMonoidWithOneZeroLEOneClass · cited by 304ZeroLEOneClasszero_lt_four · cited by 8zero_lt_fourfour_posCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.