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Theorems · Theorem · commutative algebra

Prod.isAddRegular_mk

∀ {R : Type u_2} {S : Type u_3} [inst : Add R] [inst_1 : Add S] {a : R} {b : S},
  IsAddRegular (a, b) ↔ IsAddRegular a ∧ IsAddRegular b
Defined in
Mathlib.Algebra.Regular.Prod
Cited by
1 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext, Classical.choice
Assumes
AddAdd
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Around this declaration

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

IsAddRegular.sumMk · cited by 0IsAddRegular.sumMkIsAddLeftRegular · cited by 58IsAddLeftRegularIsAddRightRegular · cited by 55IsAddRightRegularIsAddRegular · cited by 43IsAddRegularisAddRegular_iff · cited by 7isAddRegular_iffProd.isAddLeftRegular_mk · cited by 2Prod.isAddLeftRegular_mkProd.isAddRightRegular_mk · cited by 2Prod.isAddRightRegular_mkProd.isAddRegular_mkCITED BYCITES

Cites6

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Cited by1

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