Theorems · Theorem · number theory
ZNum.cast_add
∀ {α : Type u_1} [inst : AddGroupWithOne α] (m n : ZNum), ↑(m + n) = ↑m + ↑n- Defined in
- Mathlib.Data.Num.ZNum
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- add_commproof · cited by 1,535
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- neg_add_revproof · cited by 236
- Int.cast_negproof · cited by 224
- PosNumproof · cited by 171
- Int.cast_addproof · cited by 124
- AddGroupWithOnestatement and proof · cited by 111
- castPosNumproof · cited by 74
- ZNumstatement and proof · cited by 73
Cited by3
Results whose statement or proof uses this declaration.
- ZNum.cast_subproof · cited by 1
- ZNum.to_of_intproof · cited by 1
- ZNum.cast_succproof · cited by 0