2014-10-20 22:58:11 +00:00
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import hott.path tools.tactic
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open path tactic
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open path (induction_on)
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definition concat_whisker2 {A} {x y z : A} (p p' : x ≈ y) (q q' : y ≈ z) (a : p ≈ p') (b : q ≈ q') :
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(whiskerR a q) @ (whiskerL p' b) ≈ (whiskerL p b) @ (whiskerR a q') :=
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begin
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2014-10-21 00:10:16 +00:00
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apply induction_on b,
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apply induction_on a,
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apply (concat_1p _)^,
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2014-10-20 22:58:11 +00:00
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end
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