Theorems · Theorem · commutative algebra
three_add_one_eq_four
∀ {R : Type u_1} [inst : AddMonoidWithOne R], 3 + 1 = 4- Defined in
- Mathlib.Data.Nat.Cast.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- Assumes
- AddMonoidWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- two_add_one_eq_threeproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- zero_lt_fourproof · cited by 8
- QuadraticMap.associated_eq_self_applyproof · cited by 7
- zero_le_fourproof · cited by 3