Theorems · Theorem · nonassociative algebras
LieHom.quotKerEquivRange_toFun
∀ {R : Type u_1} {L : Type u_2} {L' : Type u_3} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
[inst_3 : LieRing L'] [inst_4 : LieAlgebra R L'] (f : L →ₗ⁅R⁆ L') (a : L ⧸ (↑f).ker),
f.quotKerEquivRange a = (↑f).quotKerEquivRange a- Defined in
- Mathlib.Algebra.Lie.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Submodulestatement · cited by 7,192
- LinearEquivstatement · cited by 3,317
- HasQuotient.Quotientstatement and proof · cited by 2,301
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LinearMap.rangestatement · cited by 893
- LinearMap.kerstatement and proof · cited by 848
- LieSubalgebrastatement · cited by 418
- LieHomstatement and proof · cited by 382
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