Theorems · Theorem · number theory
ZNum.cast_lt
∀ {α : Type u_1} [inst : Ring α] [inst_1 : PartialOrder α] [IsStrictOrderedRing α] {m n : ZNum}, ↑m < ↑n ↔ m < n- Defined in
- Mathlib.Data.Num.ZNum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 44 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.
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- IsStrictOrderedRingstatement and proof · cited by 2,490
- ZNumstatement and proof · cited by 73
- castZNumstatement and proof · cited by 41
- Int.cast_ltproof · cited by 14
- ZNum.cast_to_intproof · cited by 5
- ZNum.lt_to_intproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ZNum.cast_leproof · cited by 0