Theorems · Theorem · order theory
leOnePart_mul_oneLePart
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : Group α] [MulLeftMono α] [MulRightMono α] (a : α), a⁻ᵐ * a⁺ᵐ = |a|ₘ- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
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Cites19
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
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Latticestatement and proof · cited by 916
- MulLeftMonostatement and proof · cited by 410
- MulRightMonostatement and proof · cited by 263
- le_sup_rightproof · cited by 242
- mabsstatement and proof · cited by 148
- inv_mul_cancelproof · cited by 107
- sup_eq_leftproof · cited by 71
- sup_eq_rightproof · cited by 53
- LeOnePart.leOnePartstatement and proof · cited by 41
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