Theorems · Theorem · group theory
Set.mul_subset_mul_left
∀ {α : Type u_2} [inst : Mul α] {s t₁ t₂ : Set α}, t₁ ⊆ t₂ → s * t₁ ⊆ s * t₂- Cited by
- 7 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.mulstatement · cited by 297
- Set.image2_subset_leftproof · cited by 12
Cited by7
Results whose statement or proof uses this declaration.
- compact_open_separated_mul_rightproof · cited by 2
- IsOpen.mul_closureproof · cited by 2
- IsTopologicalGroup.exists_mulInvClosureNhdproof · cited by 1
- exists_mem_nhds_zero_mul_subsetproof · cited by 1
- IsTopologicalGroup.exist_mul_closure_nhdsproof · cited by 1
- MeasureTheory.Measure.haar.chaar_sup_eqproof · cited by 0
- subset_interior_mul'proof · cited by 0