Theorems · Theorem · order theory
le_ciInf_mul
∀ {α : Type u_1} {ι : Sort u_2} [Nonempty ι] [inst : ConditionallyCompleteLattice α] [inst_1 : Group α] [MulRightMono α]
{a : α} {g : ι → α} {h : α}, (∀ (i : ι), a ≤ g i * h) → a ≤ iInf g * h- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- iInfstatement · cited by 1,690
- ConditionallyCompleteLatticestatement and proof · cited by 364
- MulRightMonostatement and proof · cited by 263
- le_ciInfproof · cited by 32
- mul_inv_le_iff_le_mulproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ciSup_mul_leproof · cited by 1
- le_ciInf_mul_ciInfproof · cited by 0