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Commit 2020-11-04 16:04 0081a5a4

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feat(ring_theory/algebraic): if L / K is algebraic, then the subalgebras are fields (#4903)

Estimated changes

Modified src/field_theory/intermediate_field.lean

added theorem mem_subalgebra_equiv_intermediate_field

added theorem mem_subalgebra_equiv_intermediate_field_symm

added def subalgebra_equiv_intermediate_field

added theorem to_intermediate_field_to_subalgebra

added theorem to_subalgebra_to_intermediate_field

Modified src/ring_theory/algebra_tower.lean

added theorem subalgebra.aeval_coe

Modified src/ring_theory/algebraic.lean

added theorem inv_eq_of_aeval_div_X_ne_zero

added theorem inv_eq_of_root_of_coeff_zero_ne_zero

added theorem subalgebra.inv_mem_of_algebraic

added theorem subalgebra.inv_mem_of_root_of_coeff_zero_ne_zero

added theorem subalgebra.is_field_of_algebraic