Theorems · Theorem · group theory
Con.quotientKerEquivOfRightInverse_symm_apply
∀ {M : Type u_1} {P : Type u_3} [inst : MulOneClass M] [inst_1 : MulOneClass P] (f : M →* P) (g : P → M)
(hf : Function.RightInverse g ⇑f) (a : P), (Con.quotientKerEquivOfRightInverse f g hf).symm a = (Con.toQuotient ∘ g) a- Defined in
- Mathlib.GroupTheory.Congruence.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClassMulOneClass
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Cites9
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
- MonoidHomstatement and proof · cited by 3,629
- MulEquivstatement · cited by 1,142
- MulOneClassstatement and proof · cited by 1,018
- MulEquiv.symmstatement and proof · cited by 482
- Con.Quotientstatement · cited by 48
- Con.toQuotientstatement · cited by 33
- Con.kerstatement · cited by 24
- Con.quotientKerEquivOfRightInversestatement and proof · cited by 2
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