Theorems · Theorem · ring theory
TrivSqZeroExt.ext
∀ {R : Type u} {M : Type v} {x y : TrivSqZeroExt R M}, x.fst = y.fst → x.snd = y.snd → x = y- Defined in
- Mathlib.Algebra.TrivSqZeroExt.Basic
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TrivSqZeroExtstatement and proof · cited by 180
- TrivSqZeroExt.fststatement and proof · cited by 96
- TrivSqZeroExt.sndstatement and proof · cited by 83
Cited by29
Results whose statement or proof uses this declaration.
- TrivSqZeroExt.inl_fst_add_inr_snd_eqproof · cited by 5
- TrivSqZeroExt.inr_mul_inrproof · cited by 4
- DualNumber.commute_eps_leftproof · cited by 3
- DualNumber.inr_eq_smul_epsproof · cited by 3
- TrivSqZeroExt.inv_inlproof · cited by 2
- TrivSqZeroExt.inl_mulproof · cited by 2
- TrivSqZeroExt.inl_mul_eq_smulproof · cited by 2
- TrivSqZeroExt.isNilpotent_iff_isNilpotent_fstproof · cited by 2
- TrivSqZeroExt.inr_smulproof · cited by 2
- TrivSqZeroExt.mul_left_eq_oneproof · cited by 1
- TrivSqZeroExt.invOf_eq_invproof · cited by 1
- TrivSqZeroExt.inv_inrproof · cited by 1