Mathlib Map

Theorems · Theorem · order theory

SetRel.inv_eq_self

∀ {α : Type u_1} (R : SetRel α α) [R.IsSymm], R.inv = R
Defined in
Mathlib.Data.Rel
Cited by
5 results in Mathlib
Foundations
Depth 6 from the axioms · uses propext, Quot.sound
Assumes
SetRel.IsSymm
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

SetRel.preimage_eq_image · cited by 1SetRel.preimage_eq_imageSetRel.prod_subset_comm · cited by 0SetRel.prod_subset_commSetRel.mem_filter_prod_comm · cited by 0SetRel.mem_filter_prod_co…SetRel.inv_eq_self_iff · cited by 0SetRel.inv_eq_self_iffUniformSpace.completelyNormalSpace_of_hasAntitoneBasis · cited by 0UniformSpace.completelyNo…Set.ext · cited by 2266Set.extSetRel · cited by 581SetRelSetRel.IsSymm · cited by 93SetRel.IsSymmSetRel.inv · cited by 36SetRel.invSetRel.comm · cited by 5SetRel.commSetRel.inv_eq_selfCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.