Theorems · Theorem · general topology
PartialEquiv.trans_refl
∀ {α : Type u_1} {β : Type u_2} (e : PartialEquiv α β), e.trans (PartialEquiv.refl β) = e- Defined in
- Mathlib.Logic.Equiv.PartialEquiv
- Cited by
- 30 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialEquiv.sourceproof · cited by 964
- PartialEquivstatement and proof · cited by 335
- Set.inter_univproof · cited by 198
- PartialEquiv.transstatement · cited by 88
- PartialEquiv.reflstatement · cited by 43
- PartialEquiv.extproof · cited by 19
Cited by30
Results whose statement or proof uses this declaration.
- mfderivWithin_eq_fderivWithinproof · cited by 8
- uniqueMDiffWithinAt_iff_uniqueDiffWithinAtproof · cited by 6
- mdifferentiableWithinAt_iff_differentiableWithinAtproof · cited by 5
- ModelWithCorners.contMDiffproof · cited by 4
- mdifferentiableAt_iff_differentiableAtproof · cited by 4
- contMDiffOn_projIccproof · cited by 4
- hasMFDerivWithinAt_iff_hasFDerivWithinAtproof · cited by 4
- tangentBundle_model_space_chartAtproof · cited by 4
- IsMIntegralCurveOn.comp_addproof · cited by 3
- IsMIntegralCurveOn.comp_mulproof · cited by 3
- ModelWithCorners.contMDiffOn_symmproof · cited by 3
- isImmersionOfComplement_subtypeVal_Iccproof · cited by 3