Mathlib Map

Theorems · Theorem · commutative algebra

Prod.isLeftRegular_mk

∀ {R : Type u_2} {S : Type u_3} [inst : Mul R] [inst_1 : Mul S] {a : R} {b : S},
  IsLeftRegular (a, b) ↔ IsLeftRegular a ∧ IsLeftRegular b
Defined in
Mathlib.Algebra.Regular.Prod
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses Classical.choice
Assumes
MulMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsLeftRegular.prodMk · cited by 0IsLeftRegular.prodMkIsLeftRegular · cited by 97IsLeftRegularProd.map_injective · cited by 7Prod.map_injectiveProd.isLeftRegular_mkCITED BYCITES

Cites2

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.