Theorems · Theorem · commutative algebra
PiTensorProduct.one_def
∀ {ι : Type u_1} {R : Type u_3} {A : ι → Type u_4} [inst : CommSemiring R]
[inst_1 : (i : ι) → AddCommMonoidWithOne (A i)] [inst_2 : (i : ι) → Module R (A i)], 1 = (PiTensorProduct.tprod R) 1- Defined in
- Mathlib.RingTheory.PiTensorProduct
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- MultilinearMapstatement · cited by 370
- PiTensorProductstatement · cited by 181
- PiTensorProduct.tprodstatement · cited by 117
- AddCommMonoidWithOnestatement and proof · cited by 42
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