Theorems · Theorem · group theory
Prod.isUnit_iff
∀ {M : Type u_3} {N : Type u_4} [inst : Monoid M] [inst_1 : Monoid N] {x : M × N}, IsUnit x ↔ IsUnit x.1 ∧ IsUnit x.2- Defined in
- Mathlib.Algebra.Group.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- IsUnitstatement and proof · cited by 1,602
- MulEquiv.symmproof · cited by 482
- IsUnit.unitproof · cited by 252
- Units.isUnitproof · cited by 116
- MulEquiv.prodUnitsproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.isUnit_pullback_mk_iffproof · cited by 1