Theorems · Theorem · group theory
SubMulAction.mem_closure_of_mem
∀ {R : Type u_1} {M : Type u_2} [inst : SMul R M] {s : Set M} {x : M}, x ∈ s → x ∈ SubMulAction.closure R s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- SMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- SubMulActionstatement · cited by 120
- SubMulAction.closurestatement · cited by 6
- SubMulAction.subset_closureproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- SemigroupIdeal.mem_closure_of_memproof · cited by 1