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Theorems · Theorem · group theory

Submonoid.subsingleton_iff

∀ {M : Type u_1} [inst : MulOneClass M], Subsingleton (Submonoid M) ↔ Subsingleton M
Defined in
Mathlib.Algebra.Group.Submonoid.Defs
Cited by
1 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext, Quot.sound
Assumes
MulOneClass
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Around this declaration

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

Submonoid.nontrivial_iff · cited by 0Submonoid.nontrivial_iffTop.top · cited by 9680Top.topBot.bot · cited by 4720Bot.botSubmonoid · cited by 3086SubmonoidMulOneClass · cited by 1018MulOneClassSubmonoid.ext · cited by 48Submonoid.extSubmonoid.mem_top · cited by 11Submonoid.mem_topSubmonoid.mem_bot · cited by 2Submonoid.mem_botSubmonoid.subsingleton_iffCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.