Theorems · Theorem · group theory
QuotientGroup.con_subgroup
∀ {G : Type u_1} [inst : Group G] (c : Con G), QuotientGroup.con c.subgroup = c- Defined in
- Mathlib.GroupTheory.QuotientGroup.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- mul_oneproof · cited by 3,885
- Constatement and proof · cited by 152
- inv_mul_cancelproof · cited by 107
- mul_inv_cancel_leftproof · cited by 86
- QuotientGroup.leftRel_applyproof · cited by 17
- Con.extproof · cited by 8
- QuotientGroup.constatement · cited by 7
- Con.mulproof · cited by 7
- Con.reflproof · cited by 5
- Con.subgroupstatement and proof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.orderIsoConproof · cited by 3