Mathlib Map

Theorems · Theorem · convex and discrete geometry

stdSimplex.map.congr_simp

∀ {S : Type u_1} [inst : Semiring S] [inst_1 : PartialOrder S] {X : Type u_2} {Y : Type u_3} [inst_2 : Fintype X]
  [inst_3 : Fintype Y] [inst_4 : IsOrderedRing S] (f f_1 : X → Y),
  f = f_1 → ∀ (s s_1 : ↑(stdSimplex S X)), s = s_1 → stdSimplex.map f s = stdSimplex.map f_1 s_1
Defined in
Mathlib.Analysis.Convex.StdSimplex
Cited by
0 results in Mathlib
Foundations
Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringPartialOrderFintypeFintypeIsOrderedRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Semiring · cited by 13802SemiringFintype · cited by 7736FintypeSet.Elem · cited by 7166Set.ElemPartialOrder · cited by 6410PartialOrderIsOrderedRing · cited by 777IsOrderedRingstdSimplex · cited by 76stdSimplexstdSimplex.map · cited by 18stdSimplex.mapmap.congr_simpCITED BYCITES

Cites7

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.