Theorems · Theorem · commutative algebra
two_add_one_eq_three
∀ {R : Type u_1} [inst : AddMonoidWithOne R], 2 + 1 = 3- Defined in
- Mathlib.Data.Nat.Cast.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
- Assumes
- AddMonoidWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_addproof · cited by 586
- AddMonoidWithOnestatement and proof · cited by 313
- one_add_one_eq_twoproof · cited by 65
Cited by8
Results whose statement or proof uses this declaration.
- zero_lt_threeproof · cited by 10
- QuadraticMap.associated_eq_self_applyproof · cited by 7
- three_add_one_eq_fourproof · cited by 3
- Real.cos_pi_div_sixproof · cited by 3
- add_thirdsproof · cited by 1
- zero_le_threeproof · cited by 1
- Complex.sin_three_mulproof · cited by 1
- WeierstrassCurve.φ_fourproof · cited by 0