[Merged by Bors] - feat(Algebra/FreeAlgebra): support towers of algebras #6072
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This provide `Algebra R (FreeAlgebra A X)` when `Algebra R A`. This also fixes some diamonds that would arise as a result of this new instance.
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This provide `Algebra R (FreeAlgebra A X)` when `Algebra R A`; previously we only had `Algebra R (FreeAlgebra R X)`. This also fixes some diamonds that would arise as a result of this new instance by filling the `zsmul` and `intCast` fields of `Module.addCommMonoidToAddCommGroup`, `Algebra.semiringToRing`, and the `nsmul` and `natCast` fields of the `Semiring` instance.
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This provide `Algebra R (FreeAlgebra A X)` when `Algebra R A`; previously we only had `Algebra R (FreeAlgebra R X)`. This also fixes some diamonds that would arise as a result of this new instance by filling the `zsmul` and `intCast` fields of `Module.addCommMonoidToAddCommGroup`, `Algebra.semiringToRing`, and the `nsmul` and `natCast` fields of the `Semiring` instance.
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This provide `Algebra R (FreeAlgebra A X)` when `Algebra R A`; previously we only had `Algebra R (FreeAlgebra R X)`. This also fixes some diamonds that would arise as a result of this new instance by filling the `zsmul` and `intCast` fields of `Module.addCommMonoidToAddCommGroup`, `Algebra.semiringToRing`, and the `nsmul` and `natCast` fields of the `Semiring` instance.
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This provide
Algebra R (FreeAlgebra A X)whenAlgebra R A; previously we only hadAlgebra R (FreeAlgebra R X).This also fixes some diamonds that would arise as a result of this new instance by filling the
zsmulandintCastfields ofModule.addCommMonoidToAddCommGroup,Algebra.semiringToRing, and thensmulandnatCastfields of theSemiringinstance.