Theorems · Theorem · number theory
Num.cast_to_nat
∀ {α : Type u_1} [inst : AddMonoidWithOne α] (n : Num), ↑↑n = ↑n- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 21 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_zeroproof · cited by 1,870
- AddMonoidWithOnestatement and proof · cited by 313
- PosNumproof · cited by 171
- Numstatement and proof · cited by 117
- castNumstatement and proof · cited by 72
- PosNum.cast_to_natproof · cited by 15
Cited by9
Results whose statement or proof uses this declaration.
- Num.to_nat_to_intproof · cited by 4
- Num.cast_addproof · cited by 2
- PosNum.divMod_to_nat_auxproof · cited by 1
- Num.cast_ltproof · cited by 1
- Num.cast_succ'proof · cited by 1
- Num.cast_to_intproof · cited by 0
- Num.of_natCastproof · cited by 0
- Num.cast_injproof · cited by 0
- Num.cast_ofZNumproof · cited by 0