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Theorems · Theorem · ring theory

TrivSqZeroExt.snd_inv

∀ {R : Type u} {M : Type v} [inst : Neg M] [inst_1 : Inv R] [inst_2 : SMul Rᵐᵒᵖ M] [inst_3 : SMul R M]
  (x : TrivSqZeroExt R M), x⁻¹.snd = -(MulOpposite.op x.fst⁻¹ • x.fst⁻¹ • x.snd)
Defined in
Mathlib.Algebra.TrivSqZeroExt.Basic
Cited by
2 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
NegInvSMulSMul
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Around this declaration

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

TrivSqZeroExt.inv_inl · cited by 2TrivSqZeroExt.inv_inlTrivSqZeroExt.inv_inr · cited by 1TrivSqZeroExt.inv_inrMulOpposite · cited by 1135MulOppositeMulOpposite.op · cited by 520MulOpposite.opTrivSqZeroExt · cited by 180TrivSqZeroExtTrivSqZeroExt.fst · cited by 96TrivSqZeroExt.fstTrivSqZeroExt.snd · cited by 83TrivSqZeroExt.sndTrivSqZeroExt.snd_invCITED BYCITES

Cites5

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Cited by2

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