Theorems · Theorem · number theory
PosNum.cast_inj
∀ {α : Type u_1} [inst : AddMonoidWithOne α] [CharZero α] {m n : PosNum}, ↑m = ↑n ↔ m = n- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, Quot.sound
- Assumes
- AddMonoidWithOneCharZero
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CharZerostatement and proof · cited by 932
- AddMonoidWithOnestatement and proof · cited by 313
- PosNumstatement and proof · cited by 171
- castPosNumstatement and proof · cited by 74
- Nat.cast_injproof · cited by 70
- PosNum.cast_to_natproof · cited by 15
- PosNum.to_nat_injproof · cited by 2
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