Theorems · Theorem · number theory
Num.cast_inj
∀ {α : Type u_1} [inst : Semiring α] [inst_1 : PartialOrder α] [IsStrictOrderedRing α] {m n : Num}, ↑m = ↑n ↔ m = n- Defined in
- Mathlib.Data.Num.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- PartialOrderstatement and proof · cited by 6,410
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Numstatement and proof · cited by 117
- castNumstatement and proof · cited by 72
- Nat.cast_injproof · cited by 70
- Num.cast_to_natproof · cited by 9
- Num.to_nat_injproof · cited by 3
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