Commit 2022-08-10 08:06 0fb4144a

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feat(data/polynomial/ring_division,ring_theory/algebraic): Basic consequences of x ∈ p.root_set (#15745) This PR adds two basic consequences of x ∈ p.root_set: p ≠ 0 and is_algebraic x.

Estimated changes

Modified src/data/polynomial/ring_division.lean

added theorem polynomial.aeval_eq_zero_of_mem_root_set

added theorem polynomial.is_root_of_mem_roots

added theorem polynomial.ne_zero_of_mem_root_set

added theorem polynomial.ne_zero_of_mem_roots

Modified src/ring_theory/algebraic.lean

added theorem is_algebraic_of_mem_root_set