Theorems · Theorem · group theory
Con.comapQuotientEquivOfSurj_symm_mk
∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N] (c : Con M) {f : N →* M}
(hf : Function.Surjective ⇑f) (x : N), (c.comapQuotientEquivOfSurj f hf).symm ↑(f x) = ↑x- Defined in
- Mathlib.GroupTheory.Congruence.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MulOneClassMulOneClass
Around this declaration
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Cites12
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 · cited by 482
- Constatement and proof · cited by 152
- Con.Quotientstatement · cited by 48
- MonoidHom.map_mulstatement · cited by 37
- Con.toQuotientstatement · cited by 33
- Con.comapstatement · cited by 15
- Con.comapQuotientEquivOfSurjstatement and proof · cited by 3
- MulEquiv.symm_apply_eqproof · cited by 2
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