Theorems · Theorem · number theory
Num.cast_add
∀ {α : Type u_1} [inst : AddMonoidWithOne α] (m n : Num), ↑(m + n) = ↑m + ↑n- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext
- Assumes
- AddMonoidWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_addproof · cited by 586
- AddMonoidWithOnestatement and proof · cited by 313
- Numstatement and proof · cited by 117
- castNumstatement and proof · cited by 72
- Num.cast_to_natproof · cited by 9
- Num.add_to_natproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Num.cast_bit0proof · cited by 3
- Num.cast_bit1proof · cited by 2