Theorems · Definition · group theory
Equiv.smulRight
{α : Type u_4} → {β : Type u_5} → [inst : GroupWithZero α] → [MulAction α β] → {a : α} → a ≠ 0 → β ≃ βRight scalar multiplication as a bijection.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZeroMulAction
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- MulActionstatement and proof · cited by 1,294
- GroupWithZerostatement and proof · cited by 691
- inv_smul_smul₀proof · cited by 80
- smul_inv_smul₀proof · cited by 59
Cited by6
Results whose statement or proof uses this declaration.
- OrderIso.smulRightproof · cited by 8
- OrderIso.smulRightDualproof · cited by 8
- ZLattice.covolume.tendsto_card_le_div''proof · cited by 2
- Equiv.smulRight_applystatement and proof · cited by 1
- Equiv.smulRight.congr_simpstatement and proof · cited by 0
- Equiv.smulRight_symm_applystatement and proof · cited by 0