Theorems · Theorem · number theory
zero_le_three
∀ {α : Type u_1} [inst : AddMonoidWithOne α] [inst_1 : Preorder α] [ZeroLEOneClass α] [AddLeftMono α], 0 ≤ 3- Defined in
- Mathlib.Algebra.Order.Monoid.NatCast
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 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.
- 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
- zero_le_twoproof · cited by 44
- two_add_one_eq_threeproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- zero_le_fourproof · cited by 3