Theorems · Theorem · group theory
QuotientAddGroup.rangeKerLift_injective
∀ {G : Type u} [inst : AddGroup G] {H : Type v} [inst_1 : AddGroup H] (φ : G →+ H),
Function.Injective ⇑(QuotientAddGroup.rangeKerLift φ)- Defined in
- Mathlib.GroupTheory.QuotientGroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- HasQuotient.Quotientstatement and proof · cited by 2,301
- neg_add_cancelproof · cited by 256
- AddMonoidHom.kerstatement and proof · cited by 158
- AddMonoidHom.rangestatement and proof · cited by 142
- AddMonoidHom.map_addproof · cited by 48
- Quotient.sound'proof · cited by 30
- AddMonoidHom.mem_kerproof · cited by 26
- AddMonoidHom.map_negproof · cited by 22
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