Theorems · Theorem · order theory
lt_inv_mul_iff_lt
∀ {α : Type u} [inst : Group α] [inst_1 : LT α] [MulLeftStrictMono α] {a b : α}, 1 < b⁻¹ * a ↔ b < a- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- GroupLTMulLeftStrictMono
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
- mul_oneproof · cited by 3,885
- MulLeftStrictMonostatement and proof · cited by 146
- mul_inv_cancel_leftproof · cited by 86
- mul_lt_mul_iff_leftproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- le_of_forall_one_lt_lt_mulproof · cited by 1