Theorems · Theorem · group theory
Submonoid.inclusion_inj
∀ {M : Type u_1} [inst : MulOneClass M] {S T : Submonoid M} (h : S ≤ T) {x y : ↥S},
(Submonoid.inclusion h) x = (Submonoid.inclusion h) y ↔ x = y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClass
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- Submonoid.inclusionstatement · cited by 6
- Submonoid.inclusion_injectiveproof · cited by 1
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