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Theorems · Theorem · group theory

Submonoid.mrange_fst

∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N],
  MonoidHom.mrange (MonoidHom.fst M N) = ⊤
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
1 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MulOneClassMulOneClass
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Around this declaration

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

Submonoid.prod_eq_top_iff · cited by 0Submonoid.prod_eq_top_iffTop.top · cited by 9680Top.topMonoidHom · cited by 3629MonoidHomSubmonoid · cited by 3086SubmonoidMulOneClass · cited by 1018MulOneClassMonoidHom.mrange · cited by 63MonoidHom.mrangeMonoidHom.fst · cited by 28MonoidHom.fstProd.fst_surjective · cited by 22Prod.fst_surjectiveMonoidHom.mrange_eq_top_of_surjective · cited by 6MonoidHom.mrange_eq_top_o…Submonoid.mrange_fstCITED BYCITES

Cites8

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Cited by1

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