Theorems · Theorem · ring theory
Algebra.TensorProduct.congr_refl
∀ {R : Type uR} {S : Type uS} {A : Type uA} {B : Type uB} [inst : CommSemiring R] [inst_1 : CommSemiring S]
[inst_2 : Algebra R S] [inst_3 : Semiring A] [inst_4 : Algebra R A] [inst_5 : Algebra S A]
[inst_6 : IsScalarTower R S A] [inst_7 : Semiring B] [inst_8 : Algebra R B],
Algebra.TensorProduct.congr AlgEquiv.refl AlgEquiv.refl = AlgEquiv.refl- Defined in
- Mathlib.RingTheory.TensorProduct.Maps
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- IsScalarTowerstatement and proof · cited by 3,896
- TensorProductstatement · cited by 2,545
- AlgEquivstatement · cited by 1,681
- AlgEquiv.reflstatement and proof · cited by 50
- Algebra.TensorProduct.congrstatement and proof · cited by 26
- AlgEquiv.coe_toAlgHom_injectiveproof · cited by 8
- Algebra.TensorProduct.map_idproof · cited by 1
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