Mathlib Map

Theorems · Theorem · group theory

CancelCommMonoidWithZero.mk.inj

∀ {M₀ : Type u_2} {toCommMonoidWithZero : CommMonoidWithZero M₀} {toIsLeftCancelMulZero : IsLeftCancelMulZero M₀}
  {toCommMonoidWithZero_1 : CommMonoidWithZero M₀} {toIsLeftCancelMulZero_1 : IsLeftCancelMulZero M₀},
  { toCommMonoidWithZero := toCommMonoidWithZero, toIsLeftCancelMulZero := toIsLeftCancelMulZero } =
      { toCommMonoidWithZero := toCommMonoidWithZero_1, toIsLeftCancelMulZero := toIsLeftCancelMulZero_1 } →
    toCommMonoidWithZero = toCommMonoidWithZero_1
Defined in
Mathlib.Algebra.GroupWithZero.Defs
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CancelCommMonoidWithZero.mk.injEq · cited by 0mk.injEqCommMonoidWithZero · cited by 913CommMonoidWithZeroIsLeftCancelMulZero · cited by 48IsLeftCancelMulZeroCommMonoidWithZero.toZero · cited by 10CommMonoidWithZero.toZeroCancelCommMonoidWithZero · cited by 4CancelCommMonoidWithZeroCancelCommMonoidWithZero.mk.noConfusion · cited by 1mk.noConfusionmk.injCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.