Theorems · Theorem · commutative algebra
CharP.natCast_injOn_Iio
∀ (R : Type u_1) [inst : AddMonoidWithOne R] (p : ℕ) [CharP R p] [IsRightCancelAdd R], Set.InjOn Nat.cast (Set.Iio p)
- Defined in
- Mathlib.Algebra.CharP.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Iiostatement and proof · cited by 1,166
- Set.InjOnstatement · cited by 543
- CharPstatement and proof · cited by 478
- AddMonoidWithOnestatement and proof · cited by 313
- IsRightCancelAddstatement and proof · cited by 69
- Nat.ModEq.eq_of_lt_of_ltproof · cited by 3
- CharP.natCast_eq_natCastproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Fin.isAddFreimanIso_Iicproof · cited by 1
- roth_3ap_theorem_natproof · cited by 1
- Fin.addRothNumber_le_rothNumberNatproof · cited by 0
- corners_theorem_natproof · cited by 0
- CharP.intCast_injOn_Icoproof · cited by 0