Theorems · Theorem · logic and foundations
eq_comm_eq
∀ {α : Sort u_1} (a b : α), (a = b) = (b = a)- Defined in
- Mathlib.Logic.Basic
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by17
Results whose statement or proof uses this declaration.
- Matrix.diagonal_transposeproof · cited by 17
- zero_eq_mulproof · cited by 6
- FiniteField.orderOf_frobeniusAlgHomproof · cited by 3
- LinearMap.exact_zero_iff_surjectiveproof · cited by 2
- Function.eq_update_self_iffproof · cited by 2
- Ordinal.lift_eq_omega_natCastproof · cited by 1
- Cardinal.lift_eq_aleph_natCastproof · cited by 1
- Cardinal.lift_eq_beth_natCastproof · cited by 1
- MvPolynomial.indicator_mem_restrictDegreeproof · cited by 1
- cfcₙ_map_prodproof · cited by 1
- Pi.update_eq_sub_add_singleproof · cited by 1
- Ordinal.lift_eq_omega_oneproof · cited by 0