Theorems · Theorem · ring theory
MulOpposite.unop_surjective
∀ {α : Type u_1}, Function.Surjective MulOpposite.unop- Defined in
- Mathlib.Algebra.Opposites
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOppositestatement · cited by 1,135
- MulOpposite.unopstatement · cited by 268
- Function.Bijective.surjectiveproof · cited by 114
- MulOpposite.unop_bijectiveproof · cited by 2
Cited by11
Results whose statement or proof uses this declaration.
- Subsemiring.op_closureproof · cited by 2
- Submonoid.op_closureproof · cited by 2
- Subgroup.op_closureproof · cited by 2
- Subring.op_closureproof · cited by 1
- Subsemigroup.op_closureproof · cited by 1
- Subsemigroup.unop_le_unop_iffproof · cited by 0
- Subgroup.unop_le_unop_iffproof · cited by 0
- Subsemiring.unop_le_unop_iffproof · cited by 0
- Subalgebra.unop_le_unop_iffproof · cited by 0
- Submonoid.unop_le_unop_iffproof · cited by 0
- Subring.unop_le_unop_iffproof · cited by 0