Theorems · Theorem · group theory
Representation.Equiv.symm_trans
∀ {A : Type u_1} {G : Type u_2} {V : Type u_3} {W : Type u_4} [inst : Semiring A] [inst_1 : Monoid G]
[inst_2 : AddCommMonoid V] [inst_3 : AddCommMonoid W] [inst_4 : Module A V] [inst_5 : Module A W]
{ρ : Representation A G V} {σ : Representation A G W} (φ : ρ.Equiv σ), φ.symm.trans φ = Representation.Equiv.refl σ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Monoidstatement and proof · cited by 3,887
- Representationstatement and proof · cited by 396
- Representation.Equivstatement and proof · cited by 60
- Representation.Equiv.symmstatement · cited by 27
- Representation.Equiv.reflstatement · cited by 5
- Representation.Equiv.transstatement · cited by 5
- Representation.Equiv.extproof · cited by 3
- Representation.Equiv.apply_symm_applyproof · cited by 2
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