Theorems · Theorem · number theory
Num.to_nat_inj
∀ {m n : Num}, ↑m = ↑n ↔ m = n- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Numstatement and proof · cited by 117
- castNumstatement · cited by 72
- Num.toNat_injectiveproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- PosNum.pred'_succ'proof · cited by 1
- Num.dvd_iff_mod_eq_zeroproof · cited by 0
- Num.cast_injproof · cited by 0