Theorems · Definition · nonassociative algebras
LieAlgebra.ofTwoCocycle.mk.noConfusion
{R : Type u_5} →
{L : Type u_6} →
{M : Type u_7} →
{inst : CommRing R} →
{inst_1 : LieRing L} →
{inst_2 : LieAlgebra R L} →
{inst_3 : AddCommGroup M} →
{inst_4 : Module R M} →
{inst_5 : LieRingModule L M} →
{inst_6 : LieModule R L M} →
{c : ↥(LieModule.Cohomology.twoCocycle R L M)} →
{P : Sort u} →
{carrier carrier' : L × M} →
{ carrier := carrier } = { carrier := carrier' } → (carrier ≍ carrier' → P) → P- Defined in
- Mathlib.Algebra.Lie.Extension
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- Submodulestatement · cited by 7,192
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieRingModulestatement and proof · cited by 727
- LieModulestatement and proof · cited by 424
- LieModule.Cohomology.twoCochainstatement and proof · cited by 38
- LieModule.Cohomology.twoCocyclestatement and proof · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- LieAlgebra.ofTwoCocycle.mk.injproof · cited by 1