Theorems · Theorem · commutative algebra
Ideal.add_pow_mem_of_pow_mem_of_le
∀ {α : Type u_2} {a b : α} [inst : CommSemiring α] (I : Ideal α) {m n k : ℕ},
a ^ m ∈ I → b ^ n ∈ I → m + n ≤ k + 1 → (a + b) ^ k ∈ I- Defined in
- Mathlib.RingTheory.Ideal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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- CommSemiringstatement and proof · cited by 10,911
- Idealstatement and proof · cited by 4,748
- Commute.allproof · cited by 119
- Ideal.add_pow_mem_of_pow_mem_of_le_of_commuteproof · cited by 3
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