Theorems · Theorem · commutative algebra
RingTheory.Sequence.IsWeaklyRegular.isWeaklyRegular_rTensor
∀ {R : Type u_1} {M : Type u_3} {M₂ : Type u_4} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : AddCommGroup M₂]
[inst_3 : Module R M] [inst_4 : Module R M₂] [Module.Flat R M₂] {rs : List R},
RingTheory.Sequence.IsWeaklyRegular M rs → RingTheory.Sequence.IsWeaklyRegular (TensorProduct R M M₂) rs- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearEquivproof · cited by 3,317
- TensorProductstatement and proof · cited by 2,545
- Module.Flatstatement and proof · cited by 279
- IsSMulRegularproof · cited by 128
- QuotSMulTopproof · cited by 46
- RingTheory.Sequence.IsWeaklyRegularstatement and proof · cited by 40
- RingTheory.Sequence.IsWeaklyRegular.nilproof · cited by 6
- LinearEquiv.isWeaklyRegular_congrproof · cited by 5
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