Theorems · Theorem · group theory
Submonoid.leftInv_eq_inv
∀ {M : Type u_1} [inst : Group M] (S : Submonoid M), S.leftInv = S⁻¹- Defined in
- Mathlib.GroupTheory.Submonoid.Inverses
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Submonoidstatement and proof · cited by 3,086
- Subtype.propproof · cited by 505
- mul_inv_cancelproof · cited by 128
- Submonoid.extproof · cited by 48
- Submonoid.leftInvstatement and proof · cited by 20
- Submonoid.invstatement · cited by 15
- inv_eq_of_mul_eq_one_rightproof · cited by 15
- Submonoid.mem_invproof · cited by 2
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