Theorems · Theorem · group theory
Submonoid.fromLeftInv_eq_inv
∀ {M : Type u_1} [inst : Group M] (S : Submonoid M) (x : ↥S.leftInv), ↑(S.fromLeftInv x) = (↑x)⁻¹- Defined in
- Mathlib.GroupTheory.Submonoid.Inverses
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice
- Assumes
- Group
Around this declaration
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Cites7
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
- mul_inv_cancelproof · cited by 128
- Submonoid.leftInvstatement and proof · cited by 20
- mul_right_injproof · cited by 11
- Submonoid.fromLeftInvstatement and proof · cited by 8
- Submonoid.mul_fromLeftInvproof · cited by 5
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