Mathlib Map

Theorems · Theorem · commutative algebra

ULift.isAddRegular_up

∀ {R : Type v} [inst : Add R] {a : R}, IsAddRegular { down := a } ↔ IsAddRegular a
Defined in
Mathlib.Algebra.Regular.ULift
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
Add
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ULift.isAddRegular_down · cited by 0ULift.isAddRegular_downIsAddLeftRegular · cited by 58IsAddLeftRegularIsAddRightRegular · cited by 55IsAddRightRegularIsAddRegular · cited by 43IsAddRegularisAddRegular_iff · cited by 7isAddRegular_iffULift.isAddRightRegular_up · cited by 2ULift.isAddRightRegular_upULift.isAddLeftRegular_up · cited by 2ULift.isAddLeftRegular_upULift.isAddRegular_upCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.