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Theorems · Theorem · logic and foundations

Quot.out_eq

∀ {α : Sort u_1} {r : α → α → Prop} (q : Quot r), Quot.mk r q.out = q
Defined in
Mathlib.Data.Quot
Cited by
9 results in Mathlib
Foundations
Depth 9 from the axioms · uses Classical.choice
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Around this declaration

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

Quotient.out_eq · cited by 27Quotient.out_eqCardinal.sum_le_sum · cited by 8Cardinal.sum_le_sumAssociates.quot_out · cited by 3Associates.quot_outGromovHausdorff.GHSpace.toGHSpace_rep · cited by 1GHSpace.toGHSpace_repHomotopyCategory.quotient_map_out · cited by 1HomotopyCategory.quotient…Sym2.out_fst_mem · cited by 1Sym2.out_fst_memPiTensorProduct.nonempty_lifts · cited by 0PiTensorProduct.nonempty_…SimpleGraph.ConnectedComponent.Represents.image_out · cited by 0Represents.image_outSym2.out_snd_mem · cited by 0Sym2.out_snd_memQuot.out · cited by 14Quot.outQuot.out_eqCITED BYCITES

Cites1

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

Cited by9

Results whose statement or proof uses this declaration.