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Module_ZF_1.thy
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- Submodules
- Linear combinations
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dan323 committed May 1, 2024
1 parent 0a08da9 commit 6714a64
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4 changes: 2 additions & 2 deletions IsarMathLib/Module_ZF.thy
Original file line number Diff line number Diff line change
Expand Up @@ -279,7 +279,7 @@ qed

text\<open>Multiplying by zero is zero.\<close>

lemma(in module0) mult_zero:
lemma (in module0) mult_zero:
assumes "g\<in>\<M>"
shows "\<zero> \<cdot>\<^sub>S g=\<Theta>"
proof-
Expand All @@ -291,7 +291,7 @@ qed

text \<open>Taking inverses in a module is just multiplying by $-1$\<close>

lemma(in module0) inv_module:
lemma (in module0) inv_module:
assumes "g\<in>\<M>"
shows "(\<rm>\<one>) \<cdot>\<^sub>S g = \<midarrow> g"
proof-
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