Theorems · Theorem · order theory
CompositionSeries.Equivalent.symm
∀ {X : Type u} [inst : Lattice X] [inst_1 : JordanHolderLattice X] {s₁ s₂ : CompositionSeries X},
s₁.Equivalent s₂ → s₂.Equivalent s₁- Defined in
- Mathlib.Order.JordanHolder
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Classical.choice, Quot.sound
- Assumes
- LatticeJordanHolderLattice
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equiv.symmproof · cited by 3,681
- Latticestatement and proof · cited by 916
- Equiv.apply_symm_applyproof · cited by 346
- RelSeries.lengthproof · cited by 195
- RelSeries.toFunproof · cited by 114
- JordanHolderLatticestatement and proof · cited by 44
- CompositionSeriesstatement and proof · cited by 40
- JordanHolderLattice.Isoproof · cited by 13
- CompositionSeries.Equivalentstatement and proof · cited by 9
- JordanHolderLattice.iso_symmproof · cited by 2
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