Theorems · Theorem · number theory
Num.cast_lt
∀ {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
- 1 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Nat.cast_ltproof · cited by 80
- castNumstatement and proof · cited by 72
- Num.cast_to_natproof · cited by 9
- Num.lt_to_natproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Num.cast_leproof · cited by 0