Theorems · Theorem · order theory
CompleteLattice.MulticoequalizerDiagram.multispanIndex_left
∀ {T : Type u} [inst : CompleteLattice T] {ι : Type u_1} {x : T} {u : ι → T} {v : ι → ι → T}
(d : CompleteLattice.MulticoequalizerDiagram x u v) (x_1 : (CategoryTheory.Limits.MultispanShape.prod ι).L),
d.multispanIndex.left x_1 =
match x_1 with
| (i, j) => v i j- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CompleteLatticestatement and proof · cited by 1,048
- CategoryTheory.Limits.MultispanShape.Lstatement and proof · cited by 129
- CategoryTheory.Limits.MultispanShape.prodstatement and proof · cited by 93
- CategoryTheory.Limits.MultispanIndex.leftstatement and proof · cited by 85
- CompleteLattice.MulticoequalizerDiagram.multispanIndexstatement and proof · cited by 20
- CompleteLattice.MulticoequalizerDiagramstatement and proof · cited by 9
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