Theorems · Theorem · number theory
PosNum.cast_to_nat
∀ {α : Type u_1} [inst : AddMonoidWithOne α] (n : PosNum), ↑↑n = ↑n- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 15 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidWithOnestatement and proof · cited by 313
- PosNumstatement and proof · cited by 171
- castPosNumstatement · cited by 74
- PosNum.brecOnproof · cited by 16
Cited by15
Results whose statement or proof uses this declaration.
- Num.cast_to_natproof · cited by 9
- PosNum.to_nat_to_intproof · cited by 7
- PosNum.cast_to_intproof · cited by 3
- PosNum.cast_addproof · cited by 2
- Num.ofZNum_toNatproof · cited by 2
- PosNum.cast_ltproof · cited by 2
- PosNum.cast_mulproof · cited by 2
- ZNum.of_to_int'proof · cited by 2
- PosNum.divMod_to_nat_auxproof · cited by 1
- PosNum.cast_to_numproof · cited by 1
- PosNum.one_le_castproof · cited by 1
- Num.cast_succ'proof · cited by 1