Theorems · Theorem · order theory
symmDiff_left_injective
∀ {α : Type u_2} [inst : GeneralizedBooleanAlgebra α] (a : α), Function.Injective fun x => symmDiff x a- Defined in
- Mathlib.Order.SymmDiff
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GeneralizedBooleanAlgebra
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.
- symmDiffstatement · cited by 236
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- Function.Involutive.injectiveproof · cited by 26
- symmDiff_left_involutiveproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- bihimp_left_injectiveproof · cited by 1
- symmDiff_left_injproof · cited by 0