Theorems · Theorem · commutative algebra
Ideal.span_pair_add_right_mul
∀ {α : Type u} [inst : CommRing α] (x y z : α), Ideal.span {x + y * z, y} = Ideal.span {x, y}- Defined in
- Mathlib.RingTheory.Ideal.Span
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Idealstatement · cited by 4,748
- Ideal.spanstatement · cited by 948
- Ideal.extproof · cited by 131
Cited by4
Results whose statement or proof uses this declaration.
- Ideal.span_pair_add_left_mulproof · cited by 7
- Ideal.span_pair_sub_right_mulproof · cited by 1
- Ideal.span_pair_right_mul_addproof · cited by 1
- Ideal.span_pair_add_mul_rightproof · cited by 0