Theorems · Definition
SDiv.sdiv
{G : outParam (Type u_1)} → {P : Type u_2} → [self : SDiv G P] → P → P → Ga /ₛ b computes the quotient of a and b. The meaning of this notation is
type-dependent, but it is intended to be used for multiplicative torsors.
Conventions for notations in identifiers:
* The recommended spelling of /ₛ in identifiers is sdiv.
- Defined in
- Mathlib.Algebra.Notation.Defs
- Cited by
- 79 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- SDiv
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.
- SDivstatement and proof · cited by 27
Cited by90
Results whose statement or proof uses this declaration.
- smul_sdiv_assocstatement and proof · cited by 7
- sdiv_selfstatement and proof · cited by 6
- sdiv_smulstatement · cited by 6
- sdiv_smul_eq_sdiv_divstatement and proof · cited by 6
- smul_right_cancelproof · cited by 5
- sdiv_mul_sdiv_cancelstatement and proof · cited by 4
- smul_sdivstatement · cited by 4
- sdiv_eq_one_iff_eqstatement · cited by 3
- inv_sdiv_eq_sdiv_revstatement · cited by 3
- Equiv.smulConstproof · cited by 3
- sdiv_left_cancelstatement and proof · cited by 2
- sdiv_right_cancelstatement and proof · cited by 2