Theorems · Theorem · ring theory
TensorAlgebra.algebraMap_eq_one_iff
∀ {R : Type u_1} [inst : CommSemiring R] (M : Type u_2) [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (x : R),
(algebraMap R (TensorAlgebra R M)) x = 1 ↔ x = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement and proof · cited by 4,706
- TensorAlgebrastatement and proof · cited by 81
- map_eq_one_iffproof · cited by 15
- TensorAlgebra.algebraMap_leftInverseproof · cited by 3
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