Theorems · Theorem · commutative algebra
Int.cast_add
∀ {R : Type u} [inst : AddGroupWithOne R] (m n : ℤ), ↑(m + n) = ↑m + ↑n- Defined in
- Mathlib.Data.Int.Cast.Basic
- Cited by
- 124 results in Mathlib
- Foundations
- Depth 22 from the axioms, rests on 278 definitions · uses propext
- Assumes
- AddGroupWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- sub_eq_add_negproof · cited by 1,023
- add_assocproof · cited by 746
- Nat.cast_addproof · cited by 586
- Int.cast_natCastproof · cited by 393
- neg_add_revproof · cited by 236
- AddGroupWithOnestatement and proof · cited by 111
- sub_eq_iff_eq_addproof · cited by 74
- Int.cast_negSuccproof · cited by 32
- eq_neg_add_iff_add_eqproof · cited by 16
- Int.cast_subNatNatproof · cited by 6
Cited by125
Results whose statement or proof uses this declaration.
- Int.cast_mulproof · cited by 113
- Int.cast_subproof · cited by 78
- Int.castAddHomproof · cited by 17
- Int.floor_eq_iffproof · cited by 15
- Int.lt_floor_add_oneproof · cited by 12
- Polynomial.Chebyshev.T_derivative_eq_Uproof · cited by 7
- Zsqrtd.norm_eq_mul_conjproof · cited by 5
- Complex.tan_addproof · cited by 5
- GaussianInt.intCast_real_normproof · cited by 4
- ZNum.cast_addproof · cited by 3
- Polynomial.Chebyshev.U_complex_cosproof · cited by 3
- ZMod.mul_inv_eq_gcdproof · cited by 3