Mathlib Map

Theorems · Theorem · convex and discrete geometry

Convexity.StdSimplex.map.congr_simp

∀ {R : Type u} [inst : PartialOrder R] [inst_1 : Semiring R] [inst_2 : IsStrictOrderedRing R] {M : Type v} {N : Type w}
  (g g_1 : M → N),
  g = g_1 →
    ∀ (f f_1 : Convexity.StdSimplex R M), f = f_1 → Convexity.StdSimplex.map g f = Convexity.StdSimplex.map g_1 f_1
Defined in
Mathlib.Geometry.Convex.ConvexSpace.Defs
Cited by
6 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderSemiringIsStrictOrderedRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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Convexity.StdSimplex.map_const · cited by 4StdSimplex.map_constConvexity.iConvexComb_assoc' · cited by 2Convexity.iConvexComb_ass…Convexity.convexCombPair_iConvexComb_iConvexComb · cited by 2Convexity.convexCombPair_…Convexity.iConvexComb_assoc'' · cited by 1Convexity.iConvexComb_ass…Convexity.iConvexComb_comm · cited by 1Convexity.iConvexComb_commConvexity.iConvexComb_convexCombPair · cited by 0Convexity.iConvexComb_con…Semiring · cited by 13802SemiringPartialOrder · cited by 6410PartialOrderIsStrictOrderedRing · cited by 2490IsStrictOrderedRingConvexity.StdSimplex · cited by 123Convexity.StdSimplexConvexity.StdSimplex.map · cited by 43StdSimplex.mapmap.congr_simpCITED BYCITES

Cites5

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Cited by6

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