Theorems · Theorem · group theory
vadd_eq_add
∀ {α : Type u_9} [inst : Add α] (a b : α), a +ᵥ b = a + b- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HVAdd.hVAddstatement · cited by 1,820
Cited by39
Results whose statement or proof uses this declaration.
- Finset.weightedVSub_vadd_affineCombinationproof · cited by 8
- HahnSeries.support_mul_subsetproof · cited by 7
- midpoint_eq_smul_addproof · cited by 6
- isClosed_setOfPred_isCompactOperatorproof · cited by 3
- IsUpperSet.add_leftproof · cited by 3
- HahnSeries.coeff_single_mul_addproof · cited by 3
- map_le_lineMap_iff_slope_le_slope_leftproof · cited by 3
- AffineMap.decompproof · cited by 3
- IsIntegralCurveOn.comp_addproof · cited by 2
- vadd_ball_zeroproof · cited by 2
- midpoint_sub_addproof · cited by 2
- WithSeminorms.hasBasis_ballproof · cited by 2