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Theorems · Theorem · group theory

AddMonoidHom.mker_inr

∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N],
  AddMonoidHom.mker (AddMonoidHom.inr M N) = ⊥
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
Assumes
AddZeroClassAddZeroClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddSubmonoid.prod_eq_bot_iff · cited by 1AddSubmonoid.prod_eq_bot_…Bot.bot · cited by 4720Bot.botAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddSubmonoid.ext · cited by 32AddSubmonoid.extAddMonoidHom.inr · cited by 29AddMonoidHom.inrAddMonoidHom.mker · cited by 19AddMonoidHom.mkerAddSubmonoid.mem_bot · cited by 12AddSubmonoid.mem_botProd.mk_eq_zero · cited by 9Prod.mk_eq_zeroAddMonoidHom.mem_mker · cited by 4AddMonoidHom.mem_mkerAddMonoidHom.mker_inrCITED BYCITES

Cites10

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Cited by1

Results whose statement or proof uses this declaration.