Theorems · Theorem · commutative algebra
Module.Invertible.congr
∀ {R : Type u} {M : Type v} {N : Type u_1} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : AddCommMonoid N]
[inst_3 : Module R M] [inst_4 : Module R N] [Module.Invertible R M] (e : M ≃ₗ[R] N), Module.Invertible R N- Defined in
- Mathlib.RingTheory.PicardGroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- LinearEquivstatement and proof · cited by 3,317
- LinearEquiv.symmproof · cited by 1,461
- Module.Dualproof · cited by 583
- LinearEquiv.transproof · cited by 298
- Module.Invertiblestatement and proof · cited by 41
- LinearEquiv.lTensorproof · cited by 32
- Module.Invertible.linearEquivproof · cited by 8
- Module.Invertible.rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Module.Invertible.of_isLocalizationproof · cited by 0