Theorems · Theorem · commutative algebra
IsTensorProduct.equiv.congr_simp
∀ {R : Type u_1} [inst : CommSemiring R] {M₁ : Type u_2} {M₂ : Type u_3} {M : Type u_4} [inst_1 : AddCommMonoid M₁]
[inst_2 : AddCommMonoid M₂] [inst_3 : AddCommMonoid M] [inst_4 : Module R M₁] [inst_5 : Module R M₂]
[inst_6 : Module R M] {f f_1 : M₁ →ₗ[R] M₂ →ₗ[R] M} (e_f : f = f_1) (h : IsTensorProduct f), h.equiv = ⋯.equiv- Defined in
- Mathlib.RingTheory.IsTensorProduct
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.idstatement and proof · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement and proof · cited by 10,215
- LinearEquivstatement · cited by 3,317
- TensorProductstatement · cited by 2,545
- IsTensorProductstatement and proof · cited by 31
- IsTensorProduct.equivstatement and proof · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.