Theorems · Theorem · commutative algebra
Submodule.mul_comm
∀ {R : Type u} [inst : CommSemiring R] {A : Type v} [inst_1 : CommSemiring A] [inst_2 : Algebra R A]
(M N : Submodule R A), M * N = N * M- Defined in
- Mathlib.Algebra.Algebra.Operations
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement and proof · cited by 7,192
- le_antisymmproof · cited by 2,068
- Submodule.mul_leproof · cited by 13
- Submodule.mul_mem_mul_revproof · cited by 1
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