Theorems · Theorem
xor_left_eq_id_iff
∀ {α : Type u_1} [inst : XorOp α] [inst_1 : Zero α] [LawfulXor α] {a : α}, (fun x => a ^^^ x) = id ↔ a = 0- Defined in
- Mathlib.Data.LawfulXor.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LawfulXorstatement and proof · cited by 28
- zero_xorproof · cited by 4
- LawfulXor.xor_zeroproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.xor_eq_one_iffproof · cited by 0
- xor_right_eq_id_iffproof · cited by 0