Theorems · Theorem · linear algebra

LinearPMap.mkSpanSingleton.congr_simp

∀ {K : Type u_7} {L : Type u_8} {E : Type u_9} {F : Type u_10} [inst : DivisionRing K] [inst_1 : DivisionRing L]
  {σ : K →+* L} [inst_2 : AddCommGroup E] [inst_3 : Module K E] [inst_4 : AddCommGroup F] [inst_5 : Module L F]
  (x x_1 : E) (e_x : x = x_1) (y y_1 : F),
  y = y_1 → ∀ (hx : x ≠ 0), LinearPMap.mkSpanSingleton x y hx = LinearPMap.mkSpanSingleton x_1 y_1 ⋯

Defined in: Mathlib.LinearAlgebra.LinearPMap
Cited by: 0 results in Mathlib
Foundations: Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DivisionRing DivisionRing AddCommGroup Module AddCommGroup Module

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Modulestatement and proof · cited by 20,661
AddCommGroupstatement and proof · cited by 12,871
RingHomstatement and proof · cited by 10,189
DivisionRingstatement and proof · cited by 1,062
LinearPMapstatement · cited by 179
LinearPMap.mkSpanSingletonstatement and proof · cited by 10

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