Theorems · Theorem · group theory
Submonoid.closure_one_prod
∀ {N : Type u_2} [inst : MulOneClass N] {M : Type u_5} [inst_1 : MulOneClass M] (t : Set N),
Submonoid.closure ({1} ×ˢ t) = ⊥.prod (Submonoid.closure t)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClassMulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Bot.botstatement · cited by 4,720
- Submonoidstatement · cited by 3,086
- le_antisymmproof · cited by 2,068
- SProd.sprodstatement and proof · cited by 1,750
- MulOneClassstatement and proof · cited by 1,018
- Set.Subset.rflproof · cited by 255
- Submonoid.closurestatement and proof · cited by 167
- Submonoid.subset_closureproof · cited by 46
- MonoidHom.inlproof · cited by 32
- MonoidHom.inrproof · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.FG.prodproof · cited by 1