Theorems · Theorem
Equiv.trans_eq_refl_iff_eq_symm
∀ {α : Sort u} {β : Sort v} {f : α ≃ β} {g : β ≃ α}, f.trans g = Equiv.refl α ↔ f = g.symm- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- Equiv.transstatement · cited by 337
- Equiv.reflstatement and proof · cited by 274
- Equiv.eq_symm_compproof · cited by 10
- Equiv.coe_reflproof · cited by 7
- Equiv.coe_injproof · cited by 6
- Equiv.coe_transproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.trans_eq_refl_iff_symm_eqproof · cited by 1
- Equiv.eq_symm_iff_trans_eq_reflproof · cited by 0