Theorems · Theorem · convex and discrete geometry

LinearMap.toContPerfPair.congr_simp

∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} [inst : CommRing R] [inst_1 : TopologicalSpace R]
  [inst_2 : AddCommGroup M] [inst_3 : Module R M] [inst_4 : TopologicalSpace M] [inst_5 : AddCommGroup N]
  [inst_6 : Module R N] [inst_7 : TopologicalSpace N] (p p_1 : M →ₗ[R] N →ₗ[R] R) (e_p : p = p_1)
  [inst_8 : p.IsContPerfPair] [inst_9 : IsTopologicalRing R], p.toContPerfPair = p_1.toContPerfPair

Defined in

Mathlib.Analysis.Convex.Cone.Dual

Cited by

0 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingTopologicalSpaceAddCommGroupModuleTopologicalSpaceAddCommGroupModuleTopologicalSpaceLinearMap.IsContPerfPairIsTopologicalRing