Theorems · Theorem · number theory
zero_le_four
∀ {α : Type u_1} [inst : AddMonoidWithOne α] [inst_1 : Preorder α] [ZeroLEOneClass α] [AddLeftMono α], 0 ≤ 4- Defined in
- Mathlib.Algebra.Order.Monoid.NatCast
- Cited by
- 3 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.
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
- three_add_one_eq_fourproof · cited by 3
- zero_le_threeproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- discrim_le_zeroproof · cited by 3
- two_mul_le_add_of_sq_le_mulproof · cited by 2
- Behrend.lower_bound_le_one'proof · cited by 1