Theorems · Definition · group theory
CancelCommMonoidWithZero.mk.noConfusion
{M₀ : Type u_2} →
{P : Sort u} →
{toCommMonoidWithZero : CommMonoidWithZero M₀} →
{toIsLeftCancelMulZero : IsLeftCancelMulZero M₀} →
{toCommMonoidWithZero' : CommMonoidWithZero M₀} →
{toIsLeftCancelMulZero' : IsLeftCancelMulZero M₀} →
{ toCommMonoidWithZero := toCommMonoidWithZero, toIsLeftCancelMulZero := toIsLeftCancelMulZero } =
{ toCommMonoidWithZero := toCommMonoidWithZero', toIsLeftCancelMulZero := toIsLeftCancelMulZero' } →
(toCommMonoidWithZero ≍ toCommMonoidWithZero' → P) → P- Defined in
- Mathlib.Algebra.GroupWithZero.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.
- CommMonoidWithZerostatement and proof · cited by 913
- IsLeftCancelMulZerostatement and proof · cited by 48
- CommMonoidWithZero.toZerostatement · cited by 10
- CancelCommMonoidWithZerostatement · cited by 4
- CancelCommMonoidWithZero.noConfusionproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- CancelCommMonoidWithZero.mk.injproof · cited by 1