Theorems · Definition · commutative algebra
MvPowerSeries.renameEquiv
{σ : Type u_1} →
{τ : Type u_2} → (R : Type u_4) → [inst : CommSemiring R] → σ ≃ τ → MvPowerSeries σ R ≃ₐ[R] MvPowerSeries τ Rrename is an equivalence when the underlying map is an equivalence.
- Defined in
- Mathlib.RingTheory.MvPowerSeries.Rename
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement and proof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- AlgHomproof · cited by 3,236
- AlgEquivstatement · cited by 1,681
- MvPowerSeriesstatement and proof · cited by 659
- AlgHom.toRingHomproof · cited by 490
- MonoidHom.toOneHomproof · cited by 132
- RingHom.toMonoidHomproof · cited by 132
- OneHom.toFunproof · cited by 132
- MvPowerSeries.renameproof · cited by 26
Cited by5
Results whose statement or proof uses this declaration.
- MvPowerSeries.finSuccEquivproof · cited by 5
- MvPowerSeries.renameEquiv_applystatement and proof · cited by 2
- MvPowerSeries.renameEquiv_reflstatement · cited by 0
- MvPowerSeries.renameEquiv_symmstatement · cited by 0
- MvPowerSeries.renameEquiv_transstatement · cited by 0