Theorems · Theorem · group theory
QuotientAddGroup.mk_surjective
∀ {α : Type u_1} [inst : AddGroup α] {s : AddSubgroup α}, Function.Surjective QuotientAddGroup.mk- Defined in
- Mathlib.GroupTheory.Coset.Defs
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- HasQuotient.Quotientstatement · cited by 2,301
- QuotientAddGroup.mkstatement · cited by 348
- Quotient.mk''_surjectiveproof · cited by 19
Cited by11
Results whose statement or proof uses this declaration.
- QuotientAddGroup.mk'_surjectiveproof · cited by 10
- QuotientAddGroup.forall_mkproof · cited by 6
- AddCircle.card_torsion_le_of_isSMulRegularproof · cited by 2
- AddCircle.denseRange_zsmul_iffproof · cited by 2
- QuotientAddGroup.norm_lift_apply_leproof · cited by 2
- AddCommGroup.fg_of_descentproof · cited by 1
- QuotientAddGroup.range_mkproof · cited by 1
- QuotientAddGroup.exists_mkproof · cited by 1
- QuotientAddGroup.image_coe_injproof · cited by 1
- AddGroup.nilpotencyClass_quotient_leproof · cited by 0
- AddCommGroup.freeRank_ge_of_surjectiveproof · cited by 0