Theorems · Theorem · group theory
QuotientAddGroup.quotientBot_apply
∀ {G : Type u} [inst : AddGroup G] (a : G ⧸ (AddMonoidHom.id G).ker),
QuotientAddGroup.quotientBot a = (QuotientAddGroup.kerLift (AddMonoidHom.id G)) a- Defined in
- Mathlib.GroupTheory.QuotientGroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Bot.botstatement · cited by 4,720
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- HasQuotient.Quotientstatement and proof · cited by 2,301
- AddEquivstatement · cited by 1,087
- AddMonoidHom.kerstatement and proof · cited by 158
- AddMonoidHom.idstatement and proof · cited by 107
- QuotientAddGroup.kerLiftstatement · cited by 5
- QuotientAddGroup.quotientBotstatement and proof · cited by 3
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