Theorems · Theorem · order theory
lt_div_iff_mul_lt
∀ {α : Type u} [inst : Group α] [inst_1 : LT α] [MulRightStrictMono α] {a b c : α}, a < c / b ↔ a * b < c- Cited by
- 4 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- GroupLTMulRightStrictMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- div_eq_mul_invproof · cited by 715
- MulRightStrictMonostatement and proof · cited by 108
- inv_mul_cancel_rightproof · cited by 70
- mul_lt_mul_iff_rightproof · cited by 18
Cited by4
Results whose statement or proof uses this declaration.
- Set.preimage_mul_const_Iioproof · cited by 9
- lt_div_iff_mul_lt'proof · cited by 3
- inv_lt_div_iff_lt_mul'proof · cited by 1
- lt_div_commproof · cited by 1